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131001124044340 = 225112920533091543
BaseRepresentation
bin11101110010010100010011…
…011101101011111000110100
3122011211120210120112002012201
4131302110103131223320310
5114132310300223404330
61142341030252354244
736410342655525634
oct3562242335537064
9564746716462181
10131001124044340
11388172a0370290
1212838a8b475984
13581347869c904
14244c6b9a026c4
15102298e844eca
hex77251376be34

131001124044340 has 48 divisors (see below), whose sum is σ = 310460344145280. Its totient is φ = 45994125054080.

The previous prime is 131001124044331. The next prime is 131001124044341. The reversal of 131001124044340 is 43440421100131.

It is a super-2 number, since 2×1310011240443402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001124044299 and 131001124044308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001124044341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10266539392 + ... + 10266552151.

It is an arithmetic number, because the mean of its divisors is an integer number (6467923836360).

Almost surely, 2131001124044340 is an apocalyptic number.

131001124044340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001124044340 is an abundant number, since it is smaller than the sum of its proper divisors (179459220100940).

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

131001124044340 is a wasteful number, since it uses less digits than its factorization.

131001124044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20533091592 (or 20533091590 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131001124044340 its reverse (43440421100131), we get a palindrome (174441545144471).

The spelling of 131001124044340 in words is "one hundred thirty-one trillion, one billion, one hundred twenty-four million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 20533091543 41066183086 82132366172 102665457715 205330915430 225864006973 410661830860 451728013946 595459654747 903456027892 1129320034865 1190919309494 2258640069730 2381838618988 2977298273735 4517280139460 5954596547470 6550056202217 11909193094940 13100112404434 26200224808868 32750281011085 65500562022170 131001124044340