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10208130974820 = 22325476691180337
BaseRepresentation
bin1001010010001100010000…
…0001010100010001100100
31100010212222012101020220100
42110203010001110101210
52314222223012143240
633413314534104100
72102341000422252
oct224430401242144
940125865336810
1010208130974820
11328627589aa19
12118a4a24ab030
13590812b87bac
1427410d04d5d2
1512a80c134e30
hex948c4054464

10208130974820 has 144 divisors (see below), whose sum is σ = 31628388250368. Its totient is φ = 2663836830720.

The previous prime is 10208130974791. The next prime is 10208130974831. The reversal of 10208130974820 is 2847903180201.

It is a happy number.

10208130974820 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 81 + 3 + 0 + 97 + 482 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 56515692 + ... + 56696028.

It is an arithmetic number, because the mean of its divisors is an integer number (219641585072).

Almost surely, 210208130974820 is an apocalyptic number.

10208130974820 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 10208130974820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814194125184).

10208130974820 is an abundant number, since it is smaller than the sum of its proper divisors (21420257275548).

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

10208130974820 is a wasteful number, since it uses less digits than its factorization.

10208130974820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187090 (or 187085 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10208130974820 in words is "ten trillion, two hundred eight billion, one hundred thirty million, nine hundred seventy-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 6691 8460 13382 20073 26764 33455 40146 60219 66910 80292 100365 120438 133820 180337 200730 240876 301095 314477 360674 401460 541011 602190 628954 721348 901685 943431 1082022 1204380 1257908 1572385 1623033 1803370 1886862 2164044 2705055 2830293 3144770 3246066 3606740 3773724 4717155 5410110 5660586 6289540 6492132 8115165 8475839 9434310 10820220 11321172 14151465 16230330 16951678 18868620 25427517 28302930 32460660 33903356 42379195 50855034 56605860 76282551 84758390 101710068 127137585 152565102 169516780 254275170 305130204 381412755 508550340 762825510 1206634867 1525651020 2413269734 3619904601 4826539468 6033174335 7239809202 10859713803 12066348670 14479618404 18099523005 21719427606 24132697340 36199046010 43438855212 54298569015 56711838749 72398092020 108597138030 113423677498 170135516247 217194276060 226847354996 283559193745 340271032494 510406548741 567118387490 680542064988 850677581235 1020813097482 1134236774980 1701355162470 2041626194964 2552032743705 3402710324940 5104065487410 10208130974820