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131000104120410 = 23257207936673207
BaseRepresentation
bin11101110010010011010110…
…101010111111000001011010
3122011211111011111100120121100
4131302103112222333001122
5114132301203123323120
61142340341140052230
736410305462363530
oct3562232652770132
9564744144316540
10131000104120410
1138816917679348
1212838845994076
1358133452a7b25
14244c62038a150
15102293002a490
hex7724d6abf05a

131000104120410 has 48 divisors (see below), whose sum is σ = 389257452245376. Its totient is φ = 29942880941664.

The previous prime is 131000104120357. The next prime is 131000104120421. The reversal of 131000104120410 is 14021401000131.

131000104120410 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 0 + 104 + 120 + 410 = 666.

It is a super-2 number, since 2×1310001041204102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103968335974 + ... + 103968337233.

It is an arithmetic number, because the mean of its divisors is an integer number (8109530255112).

Almost surely, 2131000104120410 is an apocalyptic number.

131000104120410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131000104120410 is an abundant number, since it is smaller than the sum of its proper divisors (258257348124966).

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

131000104120410 is a wasteful number, since it uses less digits than its factorization.

131000104120410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207936673227 (or 207936673224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131000104120410 its reverse (14021401000131), we get a palindrome (145021505120541).

The spelling of 131000104120410 in words is "one hundred thirty-one trillion, one hundred four million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 207936673207 415873346414 623810019621 1039683366035 1247620039242 1455556712449 1871430058863 2079366732070 2911113424898 3119050098105 3742860117726 4366670137347 6238100196210 7277783562245 8733340274694 9357150294315 13100010412041 14555567124490 18714300588630 21833350686735 26200020824082 43666701373470 65500052060205 131000104120410