Search a number
-
+
23001130111311 = 3211221121331599
BaseRepresentation
bin1010011101011010111100…
…01100001001000101001111
310000102212221022020101101100
411032231132030021011033
511003322303302030221
6120530323455514143
74562530306043112
oct516553614110517
9100385838211340
1023001130111311
1173687a7345100
1226b5933b28953
13caacc6ca8151
14597391290579
1529d4a390c926
hex14eb5e30914f

23001130111311 has 18 divisors (see below), whose sum is σ = 36518782336400. Its totient is φ = 13940078854680.

The previous prime is 23001130111291. The next prime is 23001130111339. The reversal of 23001130111311 is 11311103110032.

23001130111311 is a `hidden beast` number, since 2 + 30 + 0 + 11 + 301 + 11 + 311 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23001130111311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001130118311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10560664711 + ... + 10560666888.

Almost surely, 223001130111311 is an apocalyptic number.

23001130111311 is a deficient number, since it is larger than the sum of its proper divisors (13517652225089).

23001130111311 is a wasteful number, since it uses less digits than its factorization.

23001130111311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121331627 (or 21121331613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 23001130111311 its reverse (11311103110032), we get a palindrome (34312233221343).

The spelling of 23001130111311 in words is "twenty-three trillion, one billion, one hundred thirty million, one hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 121 363 1089 21121331599 63363994797 190091984391 232334647589 697003942767 2091011828301 2555681123479 7667043370437 23001130111311