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232205120140100 = 225223550318346129
BaseRepresentation
bin110100110011000001110111…
…101100110111001101000100
31010110011121000001220102022112
4310303001313230313031010
5220413422041223440400
62141505320510120152
766624160225650212
oct6463016754671504
91113147001812275
10232205120140100
1167a95702820428
1222062aa8ab0058
139c74b05c85b53
14414ab05957cb2
151bca2c4a53835
hexd33077b37344

232205120140100 has 72 divisors (see below), whose sum is σ = 525888734300160. Its totient is φ = 88827548705280.

The previous prime is 232205120140073. The next prime is 232205120140121. The reversal of 232205120140100 is 1041021502232.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 3483836 + ... + 21829964.

Almost surely, 2232205120140100 is an apocalyptic number.

232205120140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232205120140100 is an abundant number, since it is smaller than the sum of its proper divisors (293683614160060).

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

232205120140100 is a wasteful number, since it uses less digits than its factorization.

232205120140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18351669 (or 18351662 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 232205120140100 its reverse (1041021502232), we get a palindrome (233246141642332).

The spelling of 232205120140100 in words is "two hundred thirty-two trillion, two hundred five billion, one hundred twenty million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 5503 11006 22012 27515 55030 110060 126569 137575 253138 275150 506276 550300 632845 1265690 2531380 3164225 6328450 12656900 18346129 36692258 73384516 91730645 183461290 366922580 421960967 458653225 843921934 917306450 1687843868 1834612900 2109804835 4219609670 8439219340 10549024175 21098048350 42196096700 100958747887 201917495774 403834991548 504793739435 1009587478870 2019174957740 2322051201401 2523968697175 4644102402802 5047937394350 9288204805604 10095874788700 11610256007005 23220512014010 46441024028020 58051280035025 116102560070050 232205120140100