Search a number
-
+
102166282500 = 22354103313187
BaseRepresentation
bin101111100100110010…
…1011100000100000100
3100202201010212220011220
41133021211130010010
53133214032020000
6114533510000340
710244530033632
oct1371145340404
9322633786156
10102166282500
113a368226217
12179733460b0
139832566cc9
144d32a42352
1529ce4e61a0
hex17c995c104

102166282500 has 120 divisors (see below), whose sum is σ = 298200620256. Its totient is φ = 27215904000.

The previous prime is 102166282441. The next prime is 102166282531. The reversal of 102166282500 is 5282661201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7740907 + ... + 7754093.

Almost surely, 2102166282500 is an apocalyptic number.

102166282500 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 102166282500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149100310128).

102166282500 is an abundant number, since it is smaller than the sum of its proper divisors (196034337756).

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

102166282500 is a wasteful number, since it uses less digits than its factorization.

102166282500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 102166282500 in words is "one hundred two billion, one hundred sixty-six million, two hundred eighty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1033 1250 1500 1875 2066 2500 3099 3750 4132 5165 6198 7500 10330 12396 13187 15495 20660 25825 26374 30990 39561 51650 52748 61980 65935 77475 79122 103300 129125 131870 154950 158244 197805 258250 263740 309900 329675 387375 395610 516500 645625 659350 774750 791220 989025 1291250 1318700 1549500 1648375 1936875 1978050 2582500 3296750 3873750 3956100 4945125 6593500 7747500 8241875 9890250 13622171 16483750 19780500 24725625 27244342 32967500 40866513 49451250 54488684 68110855 81733026 98902500 136221710 163466052 204332565 272443420 340554275 408665130 681108550 817330260 1021662825 1362217100 1702771375 2043325650 3405542750 4086651300 5108314125 6811085500 8513856875 10216628250 17027713750 20433256500 25541570625 34055427500 51083141250 102166282500