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131111430140322 = 2355231849327893
BaseRepresentation
bin11101110011111011000010…
…001110000011000110100010
3122012020010111222220100100000
4131303323002032003012202
5114141112202103442242
61142503432015040430
736421326315055332
oct3563730216030642
9565203458810300
10131111430140322
113885a055278885
1212856334810116
1358209a74201a8
142453b817050c2
151025798752a4c
hex773ec23831a2

131111430140322 has 96 divisors (see below), whose sum is σ = 295185877092288. Its totient is φ = 43616323855296.

The previous prime is 131111430140297. The next prime is 131111430140381. The reversal of 131111430140322 is 223041034111131.

131111430140322 is a `hidden beast` number, since 1 + 3 + 111 + 143 + 0 + 1 + 403 + 2 + 2 = 666.

It is a super-2 number, since 2×1311114301403222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4700499808 + ... + 4700527700.

It is an arithmetic number, because the mean of its divisors is an integer number (3074852886378).

Almost surely, 2131111430140322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111430140322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147592938546144).

131111430140322 is an abundant number, since it is smaller than the sum of its proper divisors (164074446951966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131111430140322 is a wasteful number, since it uses less digits than its factorization.

131111430140322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46926 (or 46914 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131111430140322 its reverse (223041034111131), we get a palindrome (354152464251453).

The spelling of 131111430140322 in words is "one hundred thirty-one trillion, one hundred eleven billion, four hundred thirty million, one hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 523 1046 1569 3138 4707 9414 14121 18493 27893 28242 36986 42363 55479 55786 83679 84726 110958 127089 166437 167358 251037 254178 332874 499311 502074 753111 998622 1497933 1506222 2259333 2995866 4493799 4518666 6777999 8987598 9671839 13555998 14588039 19343678 29015517 29176078 43764117 58031034 87046551 87528234 131292351 174093102 261139653 262584702 393877053 515825249 522279306 783418959 787754106 1031650498 1181631159 1547475747 1566837918 2350256877 2363262318 3094951494 3544893477 4642427241 4700513754 7089786954 9284854482 13927281723 27854563446 41781845169 83563690338 125345535507 250691071014 269776605227 539553210454 809329815681 1618659631362 2427989447043 4855978894086 7283968341129 14567936682258 21851905023387 43703810046774 65555715070161 131111430140322