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31411001413 = 112472117517
BaseRepresentation
bin11101010000001111…
…011101100001000101
310000002002100012102201
4131100033131201011
51003312204021123
622232514434501
72161252051411
oct352017354105
9100062305381
1031411001413
1112359767300
126107592a31
132c677c618c
14173d9c1d41
15c3c9435ad
hex7503dd845

31411001413 has 18 divisors (see below), whose sum is σ = 35276670758. Its totient is φ = 27947655120.

The previous prime is 31411001411. The next prime is 31411001423. The reversal of 31411001413 is 31410011413.

It can be written as a sum of positive squares in only one way, i.e., 21863171044 + 9547830369 = 147862^2 + 97713^2 .

It is not a de Polignac number, because 31411001413 - 21 = 31411001411 is a prime.

It is a super-3 number, since 3×314110014133 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31411001411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 208531 + ... + 326047.

Almost surely, 231411001413 is an apocalyptic number.

It is an amenable number.

31411001413 is a deficient number, since it is larger than the sum of its proper divisors (3865669345).

31411001413 is a wasteful number, since it uses less digits than its factorization.

31411001413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117633 (or 117575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 31411001413 its reverse (31410011413), we get a palindrome (62821012826).

The spelling of 31411001413 in words is "thirty-one billion, four hundred eleven million, one thousand, four hundred thirteen".

Divisors: 1 11 47 121 517 2209 5687 24299 117517 267289 1292687 5523299 14219557 60756289 259595053 668319179 2855545583 31411001413