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131141341010020 = 225112431260247367
BaseRepresentation
bin11101110100010110111001…
…000010111101100001100100
3122012022222201112110221220211
4131310112321002331201210
5114142104431244310040
61142525300024505204
736423435453213145
oct3564267102754144
9565288645427824
10131141341010020
1138870804174a00
12128600a191b204
1358237631a9163
1424553bbd8bacc
1510264496228ea
hex7745b90bd864

131141341010020 has 72 divisors (see below), whose sum is σ = 309748639096512. Its totient is φ = 46578742647360.

The previous prime is 131141341009981. The next prime is 131141341010021. The reversal of 131141341010020 is 20010143141131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131141341009973 and 131141341010000.

It is not an unprimeable number, because it can be changed into a prime (131141341010021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630019624 + ... + 630227743.

It is an arithmetic number, because the mean of its divisors is an integer number (4302064431896).

Almost surely, 2131141341010020 is an apocalyptic number.

131141341010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141341010020 is an abundant number, since it is smaller than the sum of its proper divisors (178607298086492).

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

131141341010020 is a wasteful number, since it uses less digits than its factorization.

131141341010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260247441 (or 1260247428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131141341010020 its reverse (20010143141131), we get a palindrome (151151484151151).

The spelling of 131141341010020 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 4730 5203 9460 10406 20812 26015 52030 104060 1260247367 2520494734 5040989468 6301236835 12602473670 13862721037 25204947340 27725442074 54190636781 55450884148 69313605185 108381273562 138627210370 152489931407 216762547124 270953183905 277254420740 304979862814 541906367810 596097004591 609959725628 762449657035 1083812735620 1192194009182 1524899314070 2384388018364 2980485022955 3049798628140 5960970045910 6557067050501 11921940091820 13114134101002 26228268202004 32785335252505 65570670505010 131141341010020