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31123023201 = 3347792831097
BaseRepresentation
bin11100111111000100…
…111010010101100001
32222100000110101121000
4130333010322111201
51002214443220301
622144150222213
72151154221654
oct347704722541
988300411530
1031123023201
1112221153a86
126047054969
132c1cc4727a
14171365b89b
15c2250b786
hex73f13a561

31123023201 has 64 divisors (see below), whose sum is σ = 47897395200. Its totient is φ = 19961106048.

The previous prime is 31123023187. The next prime is 31123023203. The reversal of 31123023201 is 10232032113.

31123023201 is a `hidden beast` number, since 31 + 12 + 302 + 320 + 1 = 666.

It is not a de Polignac number, because 31123023201 - 218 = 31122761057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31123023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28370485 + ... + 28371581.

It is an arithmetic number, because the mean of its divisors is an integer number (748396800).

Almost surely, 231123023201 is an apocalyptic number.

It is an amenable number.

31123023201 is a deficient number, since it is larger than the sum of its proper divisors (16774371999).

31123023201 is a wasteful number, since it uses less digits than its factorization.

31123023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31123023201 its reverse (10232032113), we get a palindrome (41355055314).

The spelling of 31123023201 in words is "thirty-one billion, one hundred twenty-three million, twenty-three thousand, two hundred one".

Divisors: 1 3 9 27 47 79 141 237 283 423 711 849 1097 1269 2133 2547 3291 3713 7641 9873 11139 13301 22357 29619 33417 39903 51559 67071 86663 100251 119709 154677 201213 259989 310451 359127 464031 603639 779967 931353 1050779 1392093 2339901 2794059 3152337 4073161 8382177 9457011 12219483 14591197 24525629 28371033 36658449 43773591 73576887 109975347 131320773 220730661 393962319 662191983 1152704563 3458113689 10374341067 31123023201