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31226070681 = 321322321972
BaseRepresentation
bin11101000101001110…
…000000011010011001
32222121012100202011100
4131011032000122121
51002422333230211
622202311022013
72153545135641
oct350516003231
988535322140
1031226070681
1112274337093
12607566a909
132c383b6c00
141723203521
15c2b5b4156
hex745380699

31226070681 has 81 divisors (see below), whose sum is σ = 51317102109. Its totient is φ = 18287260992.

The previous prime is 31226070661. The next prime is 31226070761. The reversal of 31226070681 is 18607062213.

The square root of 31226070681 is 176709.

It is a perfect power (a square), and thus also a powerful number.

31226070681 is a `hidden beast` number, since 312 + 260 + 7 + 0 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1944016281 + 29282054400 = 44091^2 + 171120^2 .

It is a de Polignac number, because none of the positive numbers 2k-31226070681 is a prime.

It is a super-2 number, since 2×312260706812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31226070661) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 158507875 + ... + 158508071.

Almost surely, 231226070681 is an apocalyptic number.

31226070681 is the 176709-th square number.

31226070681 is the 88355-th centered octagonal number.

It is an amenable number.

31226070681 is a deficient number, since it is larger than the sum of its proper divisors (20091031428).

31226070681 is a wasteful number, since it uses less digits than its factorization.

31226070681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 31226070681 by its sum of digits (36), we get a square (1124138544516 = 10602542).

The spelling of 31226070681 in words is "thirty-one billion, two hundred twenty-six million, seventy thousand, six hundred eighty-one".

Divisors: 1 3 9 13 23 39 69 117 169 197 207 299 507 529 591 897 1521 1587 1773 2561 2691 3887 4531 4761 6877 7683 11661 13593 20631 23049 33293 34983 38809 40779 58903 61893 89401 99879 104213 116427 176709 268203 299637 312639 349281 504517 530127 765739 804609 892607 937917 1354769 1513551 2297217 2677821 4064307 4540653 6558721 6891651 8033463 11603891 12192921 17611997 19676163 20529961 34811673 52835991 59028489 61589883 104435019 150850583 158507973 184769649 266889493 452551749 800668479 1357655247 2402005437 3469563409 10408690227 31226070681