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130101000432 = 243132027102859
BaseRepresentation
bin111100100101010011…
…1111011100011110000
3110102210221222121011120
41321022213323203300
54112421324003212
6135433443542240
712254011154154
oct1711247734360
9412727877146
10130101000432
11501a2694267
122126a68a980
13c364aa87c0
146422a7b064
1535b6b6488c
hex1e4a9fb8f0

130101000432 has 80 divisors (see below), whose sum is σ = 362129738880. Its totient is φ = 40010939136.

The previous prime is 130101000383. The next prime is 130101000437. The reversal of 130101000432 is 234000101031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130101000437) 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, 1213419 + ... + 1316277.

It is an arithmetic number, because the mean of its divisors is an integer number (4526621736).

Almost surely, 2130101000432 is an apocalyptic number.

130101000432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130101000432 is an abundant number, since it is smaller than the sum of its proper divisors (232028738448).

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

130101000432 is a wasteful number, since it uses less digits than its factorization.

130101000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104910 (or 104904 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130101000432 its reverse (234000101031), we get a palindrome (364101101463).

The spelling of 130101000432 in words is "one hundred thirty billion, one hundred one million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2027 4054 6081 8108 12162 16216 24324 26351 32432 48648 52702 79053 97296 102859 105404 158106 205718 210808 308577 316212 411436 421616 617154 632424 822872 1234308 1264848 1337167 1645744 2468616 2674334 4011501 4937232 5348668 8023002 10697336 16046004 21394672 32092008 64184016 208495193 416990386 625485579 833980772 1250971158 1667961544 2501942316 2710437509 3335923088 5003884632 5420875018 8131312527 10007769264 10841750036 16262625054 21683500072 32525250108 43367000144 65050500216 130101000432