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10131312111240 = 233589419442747
BaseRepresentation
bin1001001101101110000101…
…0000100110111010001000
31022212112200120010122200210
42103123201100212322020
52311442411400024430
633314132135201120
72063651234023665
oct223334120467210
938775616118623
1010131312111240
113256735622801
121177623b161a0
135864bcb18828
1427050298ca6c
1512881308a2b0
hex936e1426e88

10131312111240 has 64 divisors (see below), whose sum is σ = 30397338941760. Its totient is φ = 2701380775680.

The previous prime is 10131312111197. The next prime is 10131312111257. The reversal of 10131312111240 is 4211121313101.

It is a happy number.

It is a super-2 number, since 2×101313121112402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3648454 + ... + 5794293.

It is an arithmetic number, because the mean of its divisors is an integer number (474958420965).

Almost surely, 210131312111240 is an apocalyptic number.

10131312111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131312111240 is an abundant number, since it is smaller than the sum of its proper divisors (20266026830520).

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

10131312111240 is a wasteful number, since it uses less digits than its factorization.

10131312111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451702 (or 9451698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10131312111240 its reverse (4211121313101), we get a palindrome (14342433424341).

The spelling of 10131312111240 in words is "ten trillion, one hundred thirty-one billion, three hundred twelve million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8941 17882 26823 35764 44705 53646 71528 89410 107292 134115 178820 214584 268230 357640 536460 1072920 9442747 18885494 28328241 37770988 47213735 56656482 75541976 94427470 113312964 141641205 188854940 226625928 283282410 377709880 566564820 1133129640 84427600927 168855201854 253282802781 337710403708 422138004635 506565605562 675420807416 844276009270 1013131211124 1266414013905 1688552018540 2026262422248 2532828027810 3377104037080 5065656055620 10131312111240