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31212032033 = 7132331481051
BaseRepresentation
bin11101000100011000…
…011101000000100001
32222120012221111202102
4131010120131000201
51002410240011113
622201050100145
72153314615640
oct350430350041
988505844672
1031212032033
11122674186a6
126070a1a655
132c35510010
1417213cb357
15c2a23e758
hex74461d021

31212032033 has 32 divisors (see below), whose sum is σ = 41378168832. Its totient is φ = 22859496000.

The previous prime is 31212032029. The next prime is 31212032041. The reversal of 31212032033 is 33023021213.

It is a cyclic number.

It is not a de Polignac number, because 31212032033 - 22 = 31212032029 is a prime.

It is a super-2 number, since 2×312120320332 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31212031996 and 31212032014.

It is not an unprimeable number, because it can be changed into a prime (31212032023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175643 + ... + 305408.

It is an arithmetic number, because the mean of its divisors is an integer number (1293067776).

Almost surely, 231212032033 is an apocalyptic number.

It is an amenable number.

31212032033 is a deficient number, since it is larger than the sum of its proper divisors (10166136799).

31212032033 is a wasteful number, since it uses less digits than its factorization.

31212032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481125.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31212032033 its reverse (33023021213), we get a palindrome (64235053246).

The spelling of 31212032033 in words is "thirty-one billion, two hundred twelve million, thirty-two thousand, thirty-three".

Divisors: 1 7 13 23 31 91 161 217 299 403 713 2093 2821 4991 9269 64883 481051 3367357 6253663 11064173 14912581 43775641 77449211 104388067 143834249 193863553 342989363 1006839743 1357044871 2400925541 4458861719 31212032033