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131101341134520 = 233516271831366733
BaseRepresentation
bin11101110011110001101000…
…110111100010111010111000
3122012012011110212122202012110
4131303301220313202322320
5114140431021312301040
61142455042532412320
736420521306661261
oct3563615067427270
9565164425582173
10131101341134520
11388558482a1459
1212854399a770a0
13581ca5a16b483
1424534a5813968
1510253a7b62980
hex773c68de2eb8

131101341134520 has 128 divisors (see below), whose sum is σ = 393761767703040. Its totient is φ = 34919692945920.

The previous prime is 131101341134507. The next prime is 131101341134527. The reversal of 131101341134520 is 25431143101131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101341134527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357301074 + ... + 357667806.

It is an arithmetic number, because the mean of its divisors is an integer number (3076263810180).

Almost surely, 2131101341134520 is an apocalyptic number.

131101341134520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101341134520 is an abundant number, since it is smaller than the sum of its proper divisors (262660426568520).

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

131101341134520 is a wasteful number, since it uses less digits than its factorization.

131101341134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370205 (or 370201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 131101341134520 its reverse (25431143101131), we get a palindrome (156532484235651).

The spelling of 131101341134520 in words is "one hundred thirty-one trillion, one hundred one billion, three hundred forty-one million, one hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1627 1831 3254 3662 4881 5493 6508 7324 8135 9155 9762 10986 13016 14648 16270 18310 19524 21972 24405 27465 32540 36620 39048 43944 48810 54930 65080 73240 97620 109860 195240 219720 366733 733466 1100199 1466932 1833665 2200398 2933864 2979037 3667330 4400796 5500995 5958074 7334660 8801592 8937111 11001990 11916148 14669320 14895185 17874222 22003980 23832296 29790370 35748444 44007960 44685555 59580740 71496888 89371110 119161480 178742220 357484440 596674591 671488123 1193349182 1342976246 1790023773 2014464369 2386698364 2685952492 2983372955 3357440615 3580047546 4028928738 4773396728 5371904984 5966745910 6714881230 7160095092 8057857476 8950118865 10072321845 11933491820 13429762460 14320190184 16115714952 17900237730 20144643690 23866983640 26859524920 35800475460 40289287380 71600950920 80578574760 1092511176121 2185022352242 3277533528363 4370044704484 5462555880605 6555067056726 8740089408968 10925111761210 13110134113452 16387667641815 21850223522420 26220268226904 32775335283630 43700447044840 65550670567260 131101341134520