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42115138131 = 31141437091021
BaseRepresentation
bin100111001110010000…
…100000001001010011
311000201002001200112210
4213032100200021103
51142222433410011
631203013323203
73020436524163
oct471620401123
9130632050483
1042115138131
1116951996690
1281b4336503
133c823408a1
1420774785a3
15116753e6a6
hex9ce420253

42115138131 has 64 divisors (see below), whose sum is σ = 64365396480. Its totient is φ = 24264576000.

The previous prime is 42115138129. The next prime is 42115138183. The reversal of 42115138131 is 13183151124.

It is not a de Polignac number, because 42115138131 - 21 = 42115138129 is a prime.

It is a super-2 number, since 2×421151381312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42115138531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41248401 + ... + 41249421.

It is an arithmetic number, because the mean of its divisors is an integer number (1005709320).

Almost surely, 242115138131 is an apocalyptic number.

42115138131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42115138131 is a deficient number, since it is larger than the sum of its proper divisors (22250258349).

42115138131 is a wasteful number, since it uses less digits than its factorization.

42115138131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its digits is 2880, while the sum is 30.

Adding to 42115138131 its reverse (13183151124), we get a palindrome (55298289255).

The spelling of 42115138131 in words is "forty-two billion, one hundred fifteen million, one hundred thirty-eight thousand, one hundred thirty-one".

Divisors: 1 3 11 33 41 43 123 129 451 473 709 1021 1353 1419 1763 2127 3063 5289 7799 11231 19393 23397 29069 30487 33693 41861 43903 58179 87207 91461 125583 131709 319759 335357 460471 482933 723889 959277 1006071 1249967 1381413 1448799 1800023 2171667 3749901 5400069 7962779 13749637 19800253 23888337 29679449 31127227 41248911 59400759 89038347 93381681 326473939 342399497 979421817 1027198491 1276216307 3828648921 14038379377 42115138131