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31213112121 = 3216720767207
BaseRepresentation
bin11101000100011100…
…100100101100111001
32222120021222101100200
4131010130210230321
51002411024041441
622201125152413
72153330034612
oct350434445471
988507871320
1031213112121
1112267a96134
12607125b709
132c357ca819
1417215ccc09
15c2a3a47b6
hex744724b39

31213112121 has 12 divisors (see below), whose sum is σ = 45355582272. Its totient is φ = 20684137176.

The previous prime is 31213112107. The next prime is 31213112129. The reversal of 31213112121 is 12121131213.

31213112121 is a `hidden beast` number, since 312 + 1 + 311 + 21 + 21 = 666.

It is not a de Polignac number, because 31213112121 - 226 = 31146003257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31213112094 and 31213112103.

It is not an unprimeable number, because it can be changed into a prime (31213112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10382101 + ... + 10385106.

It is an arithmetic number, because the mean of its divisors is an integer number (3779631856).

Almost surely, 231213112121 is an apocalyptic number.

It is an amenable number.

31213112121 is a deficient number, since it is larger than the sum of its proper divisors (14142470151).

31213112121 is a wasteful number, since it uses less digits than its factorization.

31213112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20767380 (or 20767377 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31213112121 its reverse (12121131213), we get a palindrome (43334243334).

The spelling of 31213112121 in words is "thirty-one billion, two hundred thirteen million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 167 501 1503 20767207 62301621 186904863 3468123569 10404370707 31213112121