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20131233213102 = 23111753773333667
BaseRepresentation
bin1001001001111001010110…
…00000010010101010101110
32122021112020020220110121220
410210330223000102222232
510114312231200304402
6110452054425204210
74145301503644464
oct444745300225256
978245206813556
1020131233213102
116461676368450
122311699330666
13b304a080b35b
144d84dd420834
1524d9d60e5dbc
hex124f2b012aae

20131233213102 has 64 divisors (see below), whose sum is σ = 46507382578944. Its totient is φ = 5741404208640.

The previous prime is 20131233213037. The next prime is 20131233213121.

20131233213102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60166473 + ... + 60500139.

It is an arithmetic number, because the mean of its divisors is an integer number (726677852796).

Almost surely, 220131233213102 is an apocalyptic number.

20131233213102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20131233213102 is an abundant number, since it is smaller than the sum of its proper divisors (26376149365842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20131233213102 is a wasteful number, since it uses less digits than its factorization.

20131233213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387473.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2013123 and 3213102, that added together give a palindrome (5226225).

The spelling of 20131233213102 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 53773 107546 161319 322638 333667 591503 667334 914141 1001001 1183006 1774509 1828282 2002002 2742423 3549018 3670337 5484846 5672339 7340674 10055551 11011011 11344678 17017017 20111102 22022022 30166653 34034034 60333306 62395729 124791458 187187187 374374374 17942275591 35884551182 53826826773 107653653546 197365031501 305018685047 394730063002 592095094503 610037370094 915056055141 1184190189006 1830112110282 3355205535517 6710411071034 10065616606551 20131233213102