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230101331031 = 321113237773431
BaseRepresentation
bin1101011001001100011…
…0111010110001010111
3210222221011020201220200
43112103012322301113
512232221420043111
6253412422031543
722424061020415
oct3262306726127
9728834221820
10230101331031
1189649225790
12387185785b3
13189106a2860
14b1cbb862b5
155ebae17256
hex35931bac57

230101331031 has 48 divisors (see below), whose sum is σ = 407452211712. Its totient is φ = 123131131200.

The previous prime is 230101330999. The next prime is 230101331039. The reversal of 230101331031 is 130133101032.

It is a happy number.

230101331031 is a `hidden beast` number, since 2 + 301 + 0 + 1 + 331 + 0 + 31 = 666.

It is not a de Polignac number, because 230101331031 - 25 = 230101330999 is a prime.

It is a super-2 number, since 2×2301013310312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230101330995 and 230101331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230101331039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3857115 + ... + 3916316.

It is an arithmetic number, because the mean of its divisors is an integer number (8488587744).

Almost surely, 2230101331031 is an apocalyptic number.

230101331031 is a deficient number, since it is larger than the sum of its proper divisors (177350880681).

230101331031 is a wasteful number, since it uses less digits than its factorization.

230101331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773484 (or 7773481 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 230101331031 its reverse (130133101032), we get a palindrome (360234432063).

The spelling of 230101331031 in words is "two hundred thirty billion, one hundred one million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 11 13 23 33 39 69 99 117 143 207 253 299 429 759 897 1287 2277 2691 3289 9867 29601 7773431 23320293 69960879 85507741 101054603 178788913 256523223 303163809 536366739 769569669 909491427 1111600633 1609100217 1966678043 2324255869 3334801899 5900034129 6972767607 10004405697 17700102387 20918302821 25566814559 76700443677 230101331031