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102241402124240 = 24510363719194729
BaseRepresentation
bin10111001111110011101110…
…011101000111011111010000
3111102000011221002211220010002
4113033303232131013133100
5101400110342420433430
61001241015101025132
730351461153636021
oct2717635635073720
9442004832756102
10102241402124240
112a639376086965
12b57309a8551a8
1345084273c2342
141b36720256c48
15bc480086c845
hex5cfcee7477d0

102241402124240 has 80 divisors (see below), whose sum is σ = 240024135686400. Its totient is φ = 40498663289856.

The previous prime is 102241402124237. The next prime is 102241402124263. The reversal of 102241402124240 is 42421204142201.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 524947196 + ... + 525141924.

It is an arithmetic number, because the mean of its divisors is an integer number (3000301696080).

Almost surely, 2102241402124240 is an apocalyptic number.

102241402124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102241402124240 is an abundant number, since it is smaller than the sum of its proper divisors (137782733562160).

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

102241402124240 is a wasteful number, since it uses less digits than its factorization.

102241402124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258564 (or 258558 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 102241402124240 its reverse (42421204142201), we get a palindrome (144662606266441).

The spelling of 102241402124240 in words is "one hundred two trillion, two hundred forty-one billion, four hundred two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 63719 127438 194729 254876 318595 389458 509752 637190 778916 973645 1019504 1274380 1557832 1947290 2548760 3115664 3894580 5097520 6563057 7789160 13126114 15578320 20057087 26252228 32815285 40114174 52504456 65630570 80228348 100285435 105008912 131261140 160456696 200570870 262522280 320913392 401141740 525044560 802283480 1604566960 12407937151 24815874302 49631748604 62039685755 99263497208 124079371510 198526994416 248158743020 496317486040 992634972080 1278017526553 2556035053106 5112070106212 6390087632765 10224140212424 12780175265530 20448280424848 25560350531060 51120701062120 102241402124240