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10314211131 = 327374424801
BaseRepresentation
bin10011001101100011…
…00101111100111011
3222121211000012202200
421212301211330323
5132110414224011
64423245201243
7513411230250
oct114661457473
928554005680
1010314211131
114413115534
121bba260223
13c84b22813
146dbb95427
15405777856
hex266c65f3b

10314211131 has 24 divisors (see below), whose sum is σ = 17486817504. Its totient is φ = 5734540800.

The previous prime is 10314211129. The next prime is 10314211163. The reversal of 10314211131 is 13111241301.

It is a happy number.

10314211131 is a `hidden beast` number, since 10 + 314 + 211 + 131 = 666.

It is not a de Polignac number, because 10314211131 - 21 = 10314211129 is a prime.

It is a super-2 number, since 2×103142111312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10314211231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2210070 + ... + 2214731.

It is an arithmetic number, because the mean of its divisors is an integer number (728617396).

Almost surely, 210314211131 is an apocalyptic number.

10314211131 is a deficient number, since it is larger than the sum of its proper divisors (7172606373).

10314211131 is a wasteful number, since it uses less digits than its factorization.

10314211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424851 (or 4424848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10314211131 its reverse (13111241301), we get a palindrome (23425452432).

It can be divided in two parts, 10314 and 211131, that added together give a triangular number (221445 = T665).

The spelling of 10314211131 in words is "ten billion, three hundred fourteen million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 4424801 13274403 30973607 39823209 92920821 163717637 278762463 491152911 1146023459 1473458733 3438070377 10314211131