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131102344411332 = 223726346307128153
BaseRepresentation
bin11101110011110010100100…
…101010101111100011000100
3122012012021001210111111020220
4131303302210222233203010
5114140440100132130312
61142455330252224340
736420555211460460
oct3563624452574304
9565167053444226
10131102344411332
1138856212653148
1212854619a6b0b0
13581cb89c84ca8
14245355cb754a0
151025415c8ec8c
hex773ca4aaf8c4

131102344411332 has 96 divisors (see below), whose sum is σ = 350945870026752. Its totient is φ = 37314290547456.

The previous prime is 131102344411261. The next prime is 131102344411399. The reversal of 131102344411332 is 233114443201131.

It is a happy number.

It is a super-2 number, since 2×1311023444113322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131102344411293 and 131102344411302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022950168 + ... + 1023078320.

It is an arithmetic number, because the mean of its divisors is an integer number (3655686146112).

Almost surely, 2131102344411332 is an apocalyptic number.

131102344411332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131102344411332 is an abundant number, since it is smaller than the sum of its proper divisors (219843525615420).

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

131102344411332 is a wasteful number, since it uses less digits than its factorization.

131102344411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174737 (or 174735 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131102344411332 its reverse (233114443201131), we get a palindrome (364216787612463).

The spelling of 131102344411332 in words is "one hundred thirty-one trillion, one hundred two billion, three hundred forty-four million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 263 526 789 1052 1578 1841 3156 3682 5523 7364 11046 22092 46307 92614 128153 138921 185228 256306 277842 324149 384459 512612 555684 648298 768918 897071 972447 1296596 1537836 1794142 1944894 2691213 3588284 3889788 5382426 10764852 12178741 24357482 33704239 36536223 48714964 67408478 73072446 85251187 101112717 134816956 146144892 170502374 202225434 235929673 255753561 341004748 404450868 471859346 511507122 707789019 943718692 1023014244 1415578038 2831156076 5934380971 11868761942 17803142913 23737523884 35606285826 41540666797 71212571652 83081333594 124622000391 166162667188 249244000782 498488001564 1560742195373 3121484390746 4682226586119 6242968781492 9364453172238 10925195367611 18728906344476 21850390735222 32775586102833 43700781470444 65551172205666 131102344411332