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131000040412110 = 23259689315022303
BaseRepresentation
bin11101110010010011010010…
…110111111101001111001110
3122011211111000001110212020200
4131302103102313331033032
5114132301040321141420
61142340330542354330
736410304060023202
oct3562232267751716
9564744001425220
10131000040412110
1138816894715361
121283882858b9a6
13581333502cccc
14244c615b24b02
151022929643b90
hex7724d2dfd3ce

131000040412110 has 48 divisors (see below), whose sum is σ = 340603642963584. Its totient is φ = 34932981249216.

The previous prime is 131000040412079. The next prime is 131000040412133. The reversal of 131000040412110 is 11214040000131.

131000040412110 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 0 + 40 + 412 + 110 = 666.

It is a super-2 number, since 2×1310000404121102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209219 + ... + 16231521.

It is an arithmetic number, because the mean of its divisors is an integer number (7095909228408).

Almost surely, 2131000040412110 is an apocalyptic number.

131000040412110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131000040412110 is an abundant number, since it is smaller than the sum of its proper divisors (209603602551474).

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

131000040412110 is a wasteful number, since it uses less digits than its factorization.

131000040412110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15119209 (or 15119206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131000040412110 its reverse (11214040000131), we get a palindrome (142214080412241).

The spelling of 131000040412110 in words is "one hundred thirty-one trillion, forty million, four hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 96893 193786 290679 484465 581358 872037 968930 1453395 1744074 2906790 4360185 8720370 15022303 30044606 45066909 75111515 90133818 135200727 150223030 225334545 270401454 450669090 676003635 1352007270 1455556004579 2911112009158 4366668013737 7277780022895 8733336027474 13100004041211 14555560045790 21833340068685 26200008082422 43666680137370 65500020206055 131000040412110