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102109798446312 = 23317400764739649
BaseRepresentation
bin10111001101111001001010…
…010000111011010011101000
3111101112121020102022100221110
4113031321022100323103220
5101340431331400240222
61001100332133310320
730336121665062556
oct2715711220732350
9441477212270843
10102109798446312
112a598582253878
12b551690a953a0
1344c8bb31c7977
141b301d7bbabd6
15bc119bd3030c
hex5cde4a43b4e8

102109798446312 has 128 divisors (see below), whose sum is σ = 270427888224000. Its totient is φ = 32018185617408.

The previous prime is 102109798446289. The next prime is 102109798446323. The reversal of 102109798446312 is 213644897901201.

102109798446312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10582418064 + ... + 10582427712.

It is an arithmetic number, because the mean of its divisors is an integer number (2112717876750).

Almost surely, 2102109798446312 is an apocalyptic number.

102109798446312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102109798446312 is an abundant number, since it is smaller than the sum of its proper divisors (168318089777688).

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

102109798446312 is a wasteful number, since it uses less digits than its factorization.

102109798446312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20155 (or 20151 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 102109798446312 in words is "one hundred two trillion, one hundred nine billion, seven hundred ninety-eight million, four hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4007 6473 8014 9649 12021 12946 16028 19298 19419 24042 25892 28947 32056 38596 38838 48084 51784 57894 68119 77192 77676 96168 110041 115788 136238 155352 164033 204357 220082 231576 272476 328066 330123 408714 440164 492099 544952 656132 660246 817428 880328 984198 1312264 1320492 1634856 1968396 2640984 3936792 25937311 38663543 51874622 62457977 77327086 77811933 103749244 115990629 124915954 154654172 155623866 187373931 207498488 231981258 249831908 309308344 311247732 374747862 440934287 463962516 499663816 622495464 657280231 749495724 881868574 927925032 1061785609 1314560462 1322802861 1498991448 1763737148 1971840693 2123571218 2629120924 2645605722 3185356827 3527474296 3943681386 4247142436 5258241848 5291211444 6370713654 7887362772 8494284872 10582422888 12741427308 15774725544 25482854616 250269113839 500538227678 750807341517 1001076455356 1501614683034 2002152910712 3003229366068 4254574935263 6006458732136 8509149870526 12763724805789 17018299741052 25527449611578 34036599482104 51054899223156 102109798446312