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31321111101 = 3722278831063
BaseRepresentation
bin11101001010111000…
…100011101000111101
32222211211012022002220
4131022320203220331
51003121201023401
622215544035553
72156111023500
oct351270435075
988754168086
1031321111101
1112312a50395
1260a1462bb9
132c51cb2147
141731aa3137
15c34ad9336
hex74ae23a3d

31321111101 has 48 divisors (see below), whose sum is σ = 48894902784. Its totient is φ = 17782009056.

The previous prime is 31321111069. The next prime is 31321111177. The reversal of 31321111101 is 10111112313.

It is not a de Polignac number, because 31321111101 - 25 = 31321111069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31321111201) 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 47 ways as a sum of consecutive naturals, for example, 29464296 + ... + 29465358.

It is an arithmetic number, because the mean of its divisors is an integer number (1018643808).

Almost surely, 231321111101 is an apocalyptic number.

It is an amenable number.

31321111101 is a deficient number, since it is larger than the sum of its proper divisors (17573791683).

31321111101 is a wasteful number, since it uses less digits than its factorization.

31321111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 31321111101 its reverse (10111112313), we get a palindrome (41432223414).

The spelling of 31321111101 in words is "thirty-one billion, three hundred twenty-one million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 7 21 49 147 227 681 883 1063 1589 2649 3189 4767 6181 7441 11123 18543 22323 33369 43267 52087 129801 156261 200441 241301 601323 723903 938629 1403087 1689107 2815887 4209261 5067321 6570403 9821609 11823749 19711209 29464827 35471247 45992821 137978463 213068783 639206349 1491481481 4474444443 10440370367 31321111101