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103021112322012 = 223109293613438521
BaseRepresentation
bin10111011011001001111000…
…110011011110011111011100
3111111202201111110010212221010
4113123021320303132133130
5102000344214223301022
61003035125020335220
730462013126156503
oct2733117063363734
9444681443125833
10103021112322012
112a90a010172965
12b67a2220a4510
134563b06926b81
141b62369a1983a
15bd9c3774b50c
hex5db278cde7dc

103021112322012 has 96 divisors (see below), whose sum is σ = 243813531044160. Its totient is φ = 33853800130560.

The previous prime is 103021112321969. The next prime is 103021112322043. The reversal of 103021112322012 is 210223211120301.

It is a super-2 number, since 2×1030211123220122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103021112322012.

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 31 ways as a sum of consecutive naturals, for example, 234709312 + ... + 235147832.

It is an arithmetic number, because the mean of its divisors is an integer number (2539724281710).

Almost surely, 2103021112322012 is an apocalyptic number.

103021112322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103021112322012 is an abundant number, since it is smaller than the sum of its proper divisors (140792418722148).

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

103021112322012 is a wasteful number, since it uses less digits than its factorization.

103021112322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439543 (or 439541 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 103021112322012 its reverse (210223211120301), we get a palindrome (313244323442313).

The spelling of 103021112322012 in words is "one hundred three trillion, twenty-one billion, one hundred twelve million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 109 218 293 327 436 586 613 654 879 1172 1226 1308 1758 1839 2452 3516 3678 7356 31937 63874 66817 95811 127748 133634 179609 191622 200451 267268 359218 383244 400902 438521 538827 718436 801804 877042 1077654 1315563 1754084 2155308 2631126 5262252 19577381 39154762 47798789 58732143 78309524 95597578 117464286 128486653 143396367 191195156 234928572 256973306 268813373 286792734 385459959 513946612 537626746 573585468 770919918 806440119 1075253492 1541839836 1612880238 3225760476 14005045177 28010090354 29300657657 42015135531 56020180708 58601315314 78762318289 84030271062 87901972971 117202630628 157524636578 168060542124 175803945942 236286954867 315049273156 351607891884 472573909734 945147819468 8585092693501 17170185387002 25755278080503 34340370774004 51510556161006 103021112322012