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31243334213 = 7131797208207
BaseRepresentation
bin11101000110001111…
…110111001001000101
32222122101211211021102
4131012033313021011
51002441243143323
622204125025445
72154144646640
oct350617671105
988571754242
1031243334213
1112283058473
12607b3b5285
132c3bb4c910
141725618a57
15c2cd74328
hex7463f7245

31243334213 has 32 divisors (see below), whose sum is σ = 41135238144. Its totient is φ = 23025917952.

The previous prime is 31243334201. The next prime is 31243334233.

31243334213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31243334213 is a prime.

It is a super-2 number, since 2×312433342132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243334233) 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 31 ways as a sum of consecutive naturals, for example, 45956 + ... + 254162.

It is an arithmetic number, because the mean of its divisors is an integer number (1285476192).

Almost surely, 231243334213 is an apocalyptic number.

It is an amenable number.

31243334213 is a deficient number, since it is larger than the sum of its proper divisors (9891903931).

31243334213 is a wasteful number, since it uses less digits than its factorization.

31243334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208341.

The product of its digits is 15552, while the sum is 29.

The spelling of 31243334213 in words is "thirty-one billion, two hundred forty-three million, three hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 7 13 17 91 97 119 221 679 1261 1547 1649 8827 11543 21437 150059 208207 1457449 2706691 3539519 18946837 20196079 24776633 46013747 141372553 262549027 322096229 343333343 1837843189 2403333401 4463333459 31243334213