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31130212229 = 413372253037
BaseRepresentation
bin11100111111100000…
…010101011110000101
32222100111222122002022
4130333200111132011
51002223313242404
622145004252525
72151302303144
oct347740253605
988314878068
1031130212229
1112225214226
126049541145
132c2159352c
1417145ad75b
15c22e7b8be
hex73f815785

31130212229 has 8 divisors (see below), whose sum is σ = 31984127448. Its totient is φ = 30280803840.

The previous prime is 31130212181. The next prime is 31130212277. The reversal of 31130212229 is 92221203113.

It is an interprime number because it is at equal distance from previous prime (31130212181) and next prime (31130212277).

It can be written as a sum of positive squares in 4 ways, for example, as 4275852100 + 26854360129 = 65390^2 + 163873^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31130212229 - 216 = 31130146693 is a prime.

It is a super-2 number, since 2×311302122292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31130212198 and 31130212207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130215229) 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 7 ways as a sum of consecutive naturals, for example, 1112702 + ... + 1140335.

It is an arithmetic number, because the mean of its divisors is an integer number (3998015931).

Almost surely, 231130212229 is an apocalyptic number.

It is an amenable number.

31130212229 is a deficient number, since it is larger than the sum of its proper divisors (853915219).

31130212229 is a wasteful number, since it uses less digits than its factorization.

31130212229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253415.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 31130212229 in words is "thirty-one billion, one hundred thirty million, two hundred twelve thousand, two hundred twenty-nine".

Divisors: 1 41 337 13817 2253037 92374517 759273469 31130212229