Search a number
-
+
102111089221224 = 23321783424092501
BaseRepresentation
bin10111001101111010010111…
…001100110101111001101000
3111101112201120101010112020200
4113031322113030311321220
5101340442002320034344
61001101104203152200
730336165660351666
oct2715722714657150
9441481511115220
10102111089221224
112a5990849200a6
12b551991215660
1344c905a7529c5
141b302bb3b9c36
15bc12252ec069
hex5cde97335e68

102111089221224 has 48 divisors (see below), whose sum is σ = 292818564682020. Its totient is φ = 32034851520000.

The previous prime is 102111089221187. The next prime is 102111089221243. The reversal of 102111089221224 is 422122980111201.

102111089221224 is a `hidden beast` number, since 1 + 0 + 21 + 110 + 89 + 221 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97701719198724 + 4409370022500 = 9884418^2 + 2099850^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41712045027 + ... + 41712047474.

Almost surely, 2102111089221224 is an apocalyptic number.

It is an amenable number.

102111089221224 is an abundant number, since it is smaller than the sum of its proper divisors (190707475460796).

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

102111089221224 is a wasteful number, since it uses less digits than its factorization.

102111089221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83424092530 (or 83424092523 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 102111089221224 in words is "one hundred two trillion, one hundred eleven billion, eighty-nine million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 83424092501 166848185002 250272277503 333696370004 500544555006 667392740008 750816832509 1001089110012 1418209572517 1501633665018 2002178220024 2836419145034 3003267330036 4254628717551 5672838290068 6006534660072 8509257435102 11345676580136 12763886152653 17018514870204 25527772305306 34037029740408 51055544610612 102111089221224