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231300200132118 = 232133081732075231
BaseRepresentation
bin110100100101110111000110…
…010000111110111000010110
31010022222002020122021000221100
4310211313012100332320112
5220304110302213211433
62135533502305530530
766501613403543115
oct6445670620767026
91108862218230840
10231300200132118
1167776955a99837
1221b37641043a46
139c0a6910c7a20
144118dbcd73c7c
151bb19b0621b13
hexd25dc643ee16

231300200132118 has 48 divisors (see below), whose sum is σ = 539717996877696. Its totient is φ = 71166980712960.

The previous prime is 231300200132083. The next prime is 231300200132119. The reversal of 231300200132118 is 811231002003132.

231300200132118 is a `hidden beast` number, since 2 + 3 + 1 + 300 + 20 + 0 + 1 + 321 + 18 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231300200132091 and 231300200132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231300200132119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826438 + ... + 23248793.

It is an arithmetic number, because the mean of its divisors is an integer number (11244124934952).

Almost surely, 2231300200132118 is an apocalyptic number.

231300200132118 is an abundant number, since it is smaller than the sum of its proper divisors (308417796745578).

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

231300200132118 is a wasteful number, since it uses less digits than its factorization.

231300200132118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32106069 (or 32106066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 231300200132118 in words is "two hundred thirty-one trillion, three hundred billion, two hundred million, one hundred thirty-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 30817 61634 92451 184902 277353 400621 554706 801242 1201863 2403726 3605589 7211178 32075231 64150462 96225693 192451386 288677079 416978003 577354158 833956006 1250934009 2501868018 3752802027 7505604054 988462393727 1976924787454 2965387181181 5930774362362 8896161543543 12850011118451 17792323087086 25700022236902 38550033355353 77100066710706 115650100066059 231300200132118