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31001701329 = 3219230892
BaseRepresentation
bin11100110111110110…
…000110101111010001
32222000120011121021100
4130313312012233101
51001442413420304
622124134015013
72145152053614
oct346766065721
988016147240
1031001701329
111216971a075
1260124a7469
132c00a79791
1417014ba17b
15c16a44439
hex737d86bd1

31001701329 has 27 divisors (see below), whose sum is σ = 47276439483. Its totient is φ = 19573683264.

The previous prime is 31001701327. The next prime is 31001701343. The reversal of 31001701329 is 92310710013.

The square root of 31001701329 is 176073.

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

It can be written as a sum of positive squares in only one way, i.e., 28485675729 + 2516025600 = 168777^2 + 50160^2 .

It is not a de Polignac number, because 31001701329 - 21 = 31001701327 is a prime.

It is a super-2 number, since 2×310017013292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31001701327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10034617 + ... + 10037705.

Almost surely, 231001701329 is an apocalyptic number.

31001701329 is the 176073-rd square number.

31001701329 is the 88037-th centered octagonal number.

It is an amenable number.

31001701329 is a deficient number, since it is larger than the sum of its proper divisors (16274738154).

31001701329 is an frugal number, since it uses more digits than its factorization.

31001701329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 31001701329 in words is "thirty-one billion, one million, seven hundred one thousand, three hundred twenty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3089 3249 9267 27801 58691 176073 528219 1115129 3345387 9541921 10036161 28625763 85877289 181296499 543889497 1631668491 3444633481 10333900443 31001701329