Search a number
-
+
10111323131 = 7131992831973
BaseRepresentation
bin10010110101010111…
…01000101111111011
3222002200020102202022
421122223220233323
5131201444320011
64351200425055
7505365554120
oct113253505773
928080212668
1010111323131
11431963a7a8
121b6231818b
13c51a96b50
146bcc60747
153e2a4c8db
hex25aae8bfb

10111323131 has 32 divisors (see below), whose sum is σ = 12557798400. Its totient is φ = 7927818624.

The previous prime is 10111323097. The next prime is 10111323137. The reversal of 10111323131 is 13132311101.

It is a cyclic number.

It is not a de Polignac number, because 10111323131 - 26 = 10111323067 is a prime.

It is a super-2 number, since 2×101113231312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10111323137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5123861 + ... + 5125833.

It is an arithmetic number, because the mean of its divisors is an integer number (392431200).

Almost surely, 210111323131 is an apocalyptic number.

10111323131 is a deficient number, since it is larger than the sum of its proper divisors (2446475269).

10111323131 is a wasteful number, since it uses less digits than its factorization.

10111323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10111323131 its reverse (13132311101), we get a palindrome (23243634232).

The spelling of 10111323131 in words is "ten billion, one hundred eleven million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 91 199 283 1393 1973 1981 2587 3679 13811 18109 25649 25753 56317 179543 392627 394219 558359 732121 2748389 3908513 5104151 5124847 7258667 35729057 50810669 111113441 777794087 1444474733 10111323131