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10104322140 = 223251111345161
BaseRepresentation
bin10010110100100001…
…11011100001011100
3222002012001202012100
421122100323201130
5131143201302030
64350350405100
7505252215063
oct113220734134
928065052170
1010104322140
114315698860
121b5bb00790
13c504b5353
146bbd5b1da
153e2118360
hex25a43b85c

10104322140 has 144 divisors (see below), whose sum is σ = 33732762336. Its totient is φ = 2427801600.

The previous prime is 10104322139. The next prime is 10104322157. The reversal of 10104322140 is 4122340101.

10104322140 is a `hidden beast` number, since 10 + 10 + 432 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201160 + ... + 246320.

It is an arithmetic number, because the mean of its divisors is an integer number (234255294).

Almost surely, 210104322140 is an apocalyptic number.

10104322140 is a gapful number since it is divisible by the number (10) 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 10104322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866381168).

10104322140 is an abundant number, since it is smaller than the sum of its proper divisors (23628440196).

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

10104322140 is a wasteful number, since it uses less digits than its factorization.

10104322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45300 (or 45295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10104322140 its reverse (4122340101), we get a palindrome (14226662241).

The spelling of 10104322140 in words is "ten billion, one hundred four million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 113 132 165 180 198 220 226 330 339 396 452 495 565 660 678 990 1017 1130 1243 1356 1695 1980 2034 2260 2486 3390 3729 4068 4972 5085 6215 6780 7458 10170 11187 12430 14916 18645 20340 22374 24860 37290 44748 45161 55935 74580 90322 111870 135483 180644 223740 225805 270966 406449 451610 496771 541932 677415 812898 903220 993542 1354830 1490313 1625796 1987084 2032245 2483855 2709660 2980626 4064490 4470939 4967710 5103193 5961252 7451565 8128980 8941878 9935420 10206386 14903130 15309579 17883756 20412772 22354695 25515965 29806260 30619158 44709390 45928737 51031930 56135123 61238316 76547895 89418780 91857474 102063860 112270246 153095790 168405369 183714948 224540492 229643685 280675615 306191580 336810738 459287370 505216107 561351230 673621476 842026845 918574740 1010432214 1122702460 1684053690 2020864428 2526080535 3368107380 5052161070 10104322140