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131202144214340 = 225292230371014229
BaseRepresentation
bin11101110101001111100001…
…001100110001110101000100
3122012112210200000102202212012
4131311033201030301311010
5114144103442404324330
61143013233304313352
736431020305011333
oct3565174114616504
9565483600382765
10131202144214340
1138894575a81291
121286ba30772858
13582940316b874
1424583093a1d1a
151027d07631c95
hex7753e1331d44

131202144214340 has 48 divisors (see below), whose sum is σ = 285026906732400. Its totient is φ = 50670895790592.

The previous prime is 131202144214181. The next prime is 131202144214357. The reversal of 131202144214340 is 43412441202131.

It can be written as a sum of positive squares in 8 ways, for example, as 1940343133444 + 129261801080896 = 1392962^2 + 11369336^2 .

It is a super-2 number, since 2×1312021442143402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131202144214297 and 131202144214306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128854346 + ... + 129868574.

It is an arithmetic number, because the mean of its divisors is an integer number (5938060556925).

Almost surely, 2131202144214340 is an apocalyptic number.

131202144214340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202144214340 is an abundant number, since it is smaller than the sum of its proper divisors (153824762518060).

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

131202144214340 is a wasteful number, since it uses less digits than its factorization.

131202144214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237304 (or 1237302 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131202144214340 its reverse (43412441202131), we get a palindrome (174614585416471).

The spelling of 131202144214340 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred forty-four million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 223037 446074 892148 1014229 1115185 2028458 2230370 4056916 4460740 5071145 6468073 10142290 12936146 20284580 25872292 29412641 32340365 58825282 64680730 117650564 129361460 147063205 294126410 588252820 226210593473 452421186946 904842373892 1131052967365 2262105934730 4524211869460 6560107210717 13120214421434 26240428842868 32800536053585 65601072107170 131202144214340