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131002400010432 = 2632832410968787
BaseRepresentation
bin11101110010010101011111…
…100001000111000011000000
3122011211201002111110212122010
4131302111133201013003000
5114132320403400313212
61142341401033012520
736410416411206456
oct3562253741070300
9564751074425563
10131002400010432
1138817895642515
1212839186854140
13581361cb41332
14244c79b2689d6
151022a1688903c
hex77255f8470c0

131002400010432 has 56 divisors (see below), whose sum is σ = 347835288982336. Its totient is φ = 43513164649728.

The previous prime is 131002400010389. The next prime is 131002400010479. The reversal of 131002400010432 is 234010004200131.

It is a junction number, because it is equal to n+sod(n) for n = 131002400010399 and 131002400010408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205430058 + ... + 1205538729.

Almost surely, 2131002400010432 is an apocalyptic number.

131002400010432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131002400010432 is an abundant number, since it is smaller than the sum of its proper divisors (216832888971904).

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

131002400010432 is a wasteful number, since it uses less digits than its factorization.

131002400010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410969085 (or 2410969075 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131002400010432 its reverse (234010004200131), we get a palindrome (365012404210563).

The spelling of 131002400010432 in words is "one hundred thirty-one trillion, two billion, four hundred million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1698 2264 3396 4528 6792 9056 13584 18112 27168 54336 2410968787 4821937574 7232906361 9643875148 14465812722 19287750296 28931625444 38575500592 57863250888 77151001184 115726501776 154302002368 231453003552 462906007104 682304166721 1364608333442 2046912500163 2729216666884 4093825000326 5458433333768 8187650000652 10916866667536 16375300001304 21833733335072 32750600002608 43667466670144 65501200005216 131002400010432