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131412402132 = 223114788124043
BaseRepresentation
bin111101001100011001…
…0100001111111010100
3110120012100121201002220
41322120302201333110
54123113033332012
6140211531502340
712331343662554
oct1723062417724
9416170551086
10131412402132
1150805969820
12215758b79b0
13c5136a633b
146508cc9164
153641d5808c
hex1e98ca1fd4

131412402132 has 96 divisors (see below), whose sum is σ = 342023399424. Its totient is φ = 38928806400.

The previous prime is 131412402131. The next prime is 131412402203. The reversal of 131412402132 is 231204214131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412402131) 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, 5453703 + ... + 5477745.

It is an arithmetic number, because the mean of its divisors is an integer number (3562743744).

Almost surely, 2131412402132 is an apocalyptic number.

131412402132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131412402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171011699712).

131412402132 is an abundant number, since it is smaller than the sum of its proper divisors (210610997292).

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

131412402132 is a wasteful number, since it uses less digits than its factorization.

131412402132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24989 (or 24987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131412402132 its reverse (231204214131), we get a palindrome (362616616263).

The spelling of 131412402132 in words is "one hundred thirty-one billion, four hundred twelve million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 881 1034 1551 1762 2068 2643 3102 3524 5286 6204 9691 10572 19382 24043 29073 38764 41407 48086 58146 72129 82814 96172 116292 124221 144258 165628 248442 264473 288516 455477 496884 528946 793419 910954 1057892 1130021 1366431 1586838 1821908 2260042 2732862 3173676 3390063 4520084 5465724 6780126 12430231 13560252 21181883 24860462 37290693 42363766 49720924 63545649 74581386 84727532 127091298 149162772 233000713 254182596 466001426 699002139 932002852 995548501 1398004278 1991097002 2796008556 2986645503 3982194004 5973291006 10951033511 11946582012 21902067022 32853100533 43804134044 65706201066 131412402132