Search a number
-
+
23011122013131 = 371936838312669
BaseRepresentation
bin1010011101101101100011…
…10000001110001111001011
310000110211201122202120220010
411032312301300032033023
511004003234213410011
6120535055153003003
74563333024566160
oct516666160161713
9100424648676803
1023011122013131
117371a645288aa
1226b7862253463
13cabc2a0bb5a5
14597a5c306067
1529d88ac1b1a6
hex14edb1c0e3cb

23011122013131 has 32 divisors (see below), whose sum is σ = 35297857866240. Its totient is φ = 13061927983104.

The previous prime is 23011122013123. The next prime is 23011122013181. The reversal of 23011122013131 is 13131022111032.

It is not a de Polignac number, because 23011122013131 - 23 = 23011122013123 is a prime.

It is a super-2 number, since 2×230111220131312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23011122013098 and 23011122013107.

It is not an unprimeable number, because it can be changed into a prime (23011122013111) 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, 1388136 + ... + 6924533.

It is an arithmetic number, because the mean of its divisors is an integer number (1103058058320).

Almost surely, 223011122013131 is an apocalyptic number.

23011122013131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23011122013131 is a deficient number, since it is larger than the sum of its proper divisors (12286735853109).

23011122013131 is a wasteful number, since it uses less digits than its factorization.

23011122013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313555.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 23011122013131 its reverse (13131022111032), we get a palindrome (36142144124163).

The spelling of 23011122013131 in words is "twenty-three trillion, eleven billion, one hundred twenty-two million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 193 579 683 1351 2049 4053 4781 14343 131819 395457 922733 2768199 8312669 24938007 58188683 174566049 1604345117 4813035351 5677552927 11230415819 17032658781 33691247457 39742870489 119228611467 1095767714911 3287303144733 7670374004377 23011122013131