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10100189230404 = 2237132829385793
BaseRepresentation
bin1001001011111010001000…
…1100001111010101000100
31022202120100112221111101120
42102332202030033111010
52310440141420333104
633251543551553540
72061500050634040
oct222764214172504
938676315844346
1010100189230404
113244514566789
121171598b2b8b0
1358359cc21300
1426cbcd36b020
15127ae0aaacd9
hex92fa230f544

10100189230404 has 144 divisors (see below), whose sum is σ = 29168900272512. Its totient is φ = 2663433916416.

The previous prime is 10100189230399. The next prime is 10100189230421. The reversal of 10100189230404 is 40403298100101.

It is a happy 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, 117684532 + ... + 117770324.

It is an arithmetic number, because the mean of its divisors is an integer number (202561807448).

Almost surely, 210100189230404 is an apocalyptic number.

10100189230404 is a gapful number since it is divisible by the number (14) 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 10100189230404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14584450136256).

10100189230404 is an abundant number, since it is smaller than the sum of its proper divisors (19068711042108).

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

10100189230404 is a wasteful number, since it uses less digits than its factorization.

10100189230404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94126 (or 94111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10100189230404 in words is "ten trillion, one hundred billion, one hundred eighty-nine million, two hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 8293 14196 16586 24879 33172 49758 58051 85793 99516 107809 116102 171586 174153 215618 232204 257379 323427 343172 348306 431236 514758 600551 646854 696612 754663 1029516 1115309 1201102 1293708 1401517 1509326 1801653 2230618 2263989 2402204 2803034 3018652 3345927 3603306 4204551 4461236 4527978 5606068 6691854 7206612 7807163 8409102 9055956 9810619 13383708 14499017 15614326 16818204 19621238 23421489 28998034 29431857 31228652 39242476 43497051 46842978 57996068 58863714 86994102 93685956 101493119 117727428 173988204 202986238 304479357 405972476 608958714 711481349 1217917428 1422962698 2134444047 2845925396 4268888094 4980369443 8537776188 9249257537 9960738886 14941108329 18498515074 19921477772 27747772611 29882216658 36997030148 55495545222 59764433316 64744802759 110991090444 120240347981 129489605518 194234408277 240480695962 258979211036 360721043943 388468816554 480961391924 721442087886 776937633108 841682435867 1442884175772 1683364871734 2525047307601 3366729743468 5050094615202 10100189230404