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231301132000230 = 23517629297207037
BaseRepresentation
bin110100100101110111111101…
…110011110001101111100110
31010022222011122120201211200010
4310211313331303301233212
5220304114204243001410
62135534134555031050
766501645450360555
oct6445677563615746
91108864576654603
10231301132000230
1167777294008076
1221b3786113b486
139c0a7ac19b786
14411906aa27d9c
151bb1a17345c20
hexd25dfdcf1be6

231301132000230 has 64 divisors (see below), whose sum is σ = 587786416136640. Its totient is φ = 58051118260224.

The previous prime is 231301132000229. The next prime is 231301132000231. The reversal of 231301132000230 is 32000231103132.

It is an interprime number because it is at equal distance from previous prime (231301132000229) and next prime (231301132000231).

It is a junction number, because it is equal to n+sod(n) for n = 231301132000197 and 231301132000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301132000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28490272 + ... + 35697308.

It is an arithmetic number, because the mean of its divisors is an integer number (9184162752135).

Almost surely, 2231301132000230 is an apocalyptic number.

231301132000230 is an abundant number, since it is smaller than the sum of its proper divisors (356485284136410).

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

231301132000230 is a wasteful number, since it uses less digits than its factorization.

231301132000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269993.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 231301132000230 its reverse (32000231103132), we get a palindrome (263301363103362).

The spelling of 231301132000230 in words is "two hundred thirty-one trillion, three hundred one billion, one hundred thirty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 62929 125858 188787 314645 377574 629290 943935 1069793 1887870 2139586 3209379 5348965 6418758 7207037 10697930 14414074 16046895 21621111 32093790 36035185 43242222 72070370 108105555 122519629 216211110 245039258 367558887 612598145 735117774 1225196290 1837794435 3675588870 453531631373 907063262746 1360594894119 2267658156865 2721189788238 4535316313730 6802974470595 7710037733341 13605948941190 15420075466682 23130113200023 38550188666705 46260226400046 77100377333410 115650566000115 231301132000230