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130314000432 = 24371135258117
BaseRepresentation
bin111100101011101010…
…0011101100000110000
3110110100210210010020110
41321113110131200300
54113340341003212
6135510533141320
712262205504340
oct1712724354060
9413323703213
10130314000432
11502a1946320
1221309a8a840
13c399c64cc5
146443084d20
1535ca6daa3c
hex1e5751d830

130314000432 has 80 divisors (see below), whose sum is σ = 419712636672. Its totient is φ = 33847791360.

The previous prime is 130314000413. The next prime is 130314000433. The reversal of 130314000432 is 234000413031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130314000399 and 130314000408.

It is not an unprimeable number, because it can be changed into a prime (130314000433) 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, 17625363 + ... + 17632754.

Almost surely, 2130314000432 is an apocalyptic number.

130314000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130314000432 is an abundant number, since it is smaller than the sum of its proper divisors (289398636240).

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

130314000432 is a wasteful number, since it uses less digits than its factorization.

130314000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35258146 (or 35258140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 130314000432 its reverse (234000413031), we get a palindrome (364314413463).

The spelling of 130314000432 in words is "one hundred thirty billion, three hundred fourteen million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 35258117 70516234 105774351 141032468 211548702 246806819 282064936 387839287 423097404 493613638 564129872 740420457 775678574 846194808 987227276 1163517861 1480840914 1551357148 1692389616 1974454552 2327035722 2714875009 2961681828 3102714296 3948909104 4654071444 5429750018 5923363656 6205428592 8144625027 9308142888 10859500036 11846727312 16289250054 18616285776 21719000072 32578500108 43438000144 65157000216 130314000432