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131423522012541 = 3211247139109316901
BaseRepresentation
bin11101111000011101101100…
…010110000011110101111101
3122020022222002012211010102100
4131320131230112003311331
5114211220333113400131
61143303044343015313
736453015251155533
oct3570355426036575
9566288065733370
10131423522012541
113896a447a76700
12128a691373a539
13584425343c775
142464d0a73c153
15102d96277d7e6
hex77876c583d7d

131423522012541 has 144 divisors (see below), whose sum is σ = 214842246877440. Its totient is φ = 77319706464000.

The previous prime is 131423522012521. The next prime is 131423522012561. The reversal of 131423522012541 is 145210225324131.

131423522012541 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 3 + 522 + 0 + 125 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131423522012521) and next prime (131423522012561).

It is not a de Polignac number, because 131423522012541 - 25 = 131423522012509 is a prime.

It is a super-2 number, since 2×1314235220125412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131423522012496 and 131423522012505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423522012501) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7776071191 + ... + 7776088091.

It is an arithmetic number, because the mean of its divisors is an integer number (1491960047760).

Almost surely, 2131423522012541 is an apocalyptic number.

131423522012541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131423522012541 is a deficient number, since it is larger than the sum of its proper divisors (83418724864899).

131423522012541 is a wasteful number, since it uses less digits than its factorization.

131423522012541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18208 (or 18194 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131423522012541 its reverse (145210225324131), we get a palindrome (276633747336672).

The spelling of 131423522012541 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, five hundred twenty-two million, twelve thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 47 99 121 139 141 363 417 423 517 1089 1093 1251 1529 1551 3279 4587 4653 5687 6533 9837 12023 13761 16819 16901 17061 19599 36069 50457 50703 51183 51371 58797 71863 108207 132253 151371 151927 152109 154113 185911 215589 396759 455781 462339 557733 565081 646767 790493 794347 1190277 1367343 1671197 1673199 1695243 2045021 2349239 2371479 2383041 5013591 5085729 6135063 6215891 7047717 7114437 7140569 7149123 8737817 15040773 18383167 18405189 18472793 18647673 21143151 21421707 25841629 26213451 55149501 55418379 55943019 64265121 77524887 78546259 78640353 96115987 110414233 165448503 166255137 203200723 232574661 235638777 284257919 288347961 331242699 609602169 706916331 852773757 864008849 865043883 868221271 993728097 1214556563 1828806507 2235207953 2558321271 2567718227 2592026547 2604663813 3643669689 6705623859 7703154681 7776079641 7813991439 9550433981 10931009067 13360122193 20116871577 23109464043 28244900497 28651301943 40080366579 84734701491 85953905829 105054773791 120241099737 120682756669 254204104473 310693905467 315164321373 362048270007 932081716401 945492964119 1086144810021 1327510323359 2796245149203 3982530970077 11947592910231 14602613556949 43807840670847 131423522012541