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2131230142104 = 2337214711231999
BaseRepresentation
bin11111000000110111001…
…101110010111010011000
321112202002002111210022120
4133000313031302322120
5234404224404021404
64311023522221240
7306655604210400
oct37006715627230
97482062453276
102131230142104
11751938943988
122a50687b4820
13125c88254c2b
147521b493800
153a688d329d9
hex1f037372e98

2131230142104 has 96 divisors (see below), whose sum is σ = 6202183680000. Its totient is φ = 608508452160.

The previous prime is 2131230142103. The next prime is 2131230142123. The reversal of 2131230142104 is 4012410321312.

It is a super-2 number, since 2×21312301421042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131230142103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113897 + ... + 2345895.

It is an arithmetic number, because the mean of its divisors is an integer number (64606080000).

Almost surely, 22131230142104 is an apocalyptic number.

2131230142104 is a gapful number since it is divisible by the number (24) 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 2131230142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101091840000).

2131230142104 is an abundant number, since it is smaller than the sum of its proper divisors (4070953537896).

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

2131230142104 is a wasteful number, since it uses less digits than its factorization.

2131230142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233493 (or 1233482 counting only the distinct ones).

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

Adding to 2131230142104 its reverse (4012410321312), we get a palindrome (6143640463416).

The spelling of 2131230142104 in words is "two trillion, one hundred thirty-one billion, two hundred thirty million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1471 2942 4413 5884 8826 10297 11768 17652 20594 30891 35304 41188 61782 72079 82376 123564 144158 216237 247128 288316 432474 576632 864948 1231999 1729896 2463998 3695997 4927996 7391994 8623993 9855992 14783988 17247986 25871979 29567976 34495972 51743958 60367951 68991944 103487916 120735902 181103853 206975832 241471804 362207706 482943608 724415412 1448830824 1812270529 3624541058 5436811587 7249082116 10873623174 12685893703 14498164232 21747246348 25371787406 38057681109 43494492696 50743574812 76115362218 88801255921 101487149624 152230724436 177602511842 266403767763 304461448872 355205023684 532807535526 710410047368 1065615071052 2131230142104