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123132331311 = 31129909114153
BaseRepresentation
bin111001010101101000…
…0100100010100101111
3102202211022012112021020
41302223100210110233
54004133334100221
6132322145105223
711616222355443
oct1625320442457
9382738175236
10123132331311
1148246a99a90
121ba44928213
13b7c4122552
145d61358823
153309e88ac6
hex1cab42452f

123132331311 has 32 divisors (see below), whose sum is σ = 185310961920. Its totient is φ = 72039340800.

The previous prime is 123132331303. The next prime is 123132331351. The reversal of 123132331311 is 113133231321.

It is not a de Polignac number, because 123132331311 - 23 = 123132331303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132331351) 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, 8693011 + ... + 8707163.

It is an arithmetic number, because the mean of its divisors is an integer number (5790967560).

Almost surely, 2123132331311 is an apocalyptic number.

123132331311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123132331311 is a deficient number, since it is larger than the sum of its proper divisors (62178630609).

123132331311 is a wasteful number, since it uses less digits than its factorization.

123132331311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23287.

The product of its digits is 972, while the sum is 24.

Adding to 123132331311 its reverse (113133231321), we get a palindrome (236265562632).

The spelling of 123132331311 in words is "one hundred twenty-three billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 11 29 33 87 319 957 9091 14153 27273 42459 100001 155683 263639 300003 410437 467049 790917 1231311 2900029 4514807 8700087 13544421 128664923 385994769 1415314153 3731282767 4245942459 11193848301 41044110437 123132331311