Search a number
-
+
23153635131 = 3117915756569
BaseRepresentation
bin10101100100000100…
…000110111100111011
32012202121122112100220
4111210010012330323
5334404312311011
614345302431123
71446524436264
oct254404067473
965677575326
1023153635131
119901694850
1245a21324a3
13224cb61823
14119908196b
15907a5b506
hex564106f3b

23153635131 has 32 divisors (see below), whose sum is σ = 34322150400. Its totient is φ = 13766388480.

The previous prime is 23153635033. The next prime is 23153635181. The reversal of 23153635131 is 13153635132.

It is a happy number.

It is not a de Polignac number, because 23153635131 - 213 = 23153626939 is a prime.

It is a super-2 number, since 2×231536351312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23153635092 and 23153635101.

It is not an unprimeable number, because it can be changed into a prime (23153635181) 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 31 ways as a sum of consecutive naturals, for example, 381015 + ... + 437583.

It is an arithmetic number, because the mean of its divisors is an integer number (1072567200).

Almost surely, 223153635131 is an apocalyptic number.

23153635131 is a deficient number, since it is larger than the sum of its proper divisors (11168515269).

23153635131 is a wasteful number, since it uses less digits than its factorization.

23153635131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56819.

The product of its digits is 24300, while the sum is 33.

Subtracting from 23153635131 its reverse (13153635132), we obtain a palindrome (9999999999).

The spelling of 23153635131 in words is "twenty-three billion, one hundred fifty-three million, six hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 3 11 33 79 157 237 471 869 1727 2607 5181 12403 37209 56569 136433 169707 409299 622259 1866777 4468951 8881333 13406853 26643999 49158461 97694663 147475383 293083989 701625307 2104875921 7717878377 23153635131