Search a number
-
+
102160151676 = 223211257980181
BaseRepresentation
bin101111100100100111…
…0000011010001111100
3100202200201100102021100
41133021032003101330
53133210444323201
6114533130333100
710244423650542
oct1371116032174
9322621312240
10102160151676
113a364819020
121797128a190
1398311cb5bb
144d31cc7d92
1529cdbd4886
hex17c938347c

102160151676 has 36 divisors (see below), whose sum is σ = 281714358744. Its totient is φ = 30957621600.

The previous prime is 102160151669. The next prime is 102160151689. The reversal of 102160151676 is 676151061201.

It is a happy number.

102160151676 is a `hidden beast` number, since 10 + 2 + 1 + 60 + 1 + 516 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102160151676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128989695 + ... + 128990486.

It is an arithmetic number, because the mean of its divisors is an integer number (7825398854).

Almost surely, 2102160151676 is an apocalyptic number.

It is an amenable number.

102160151676 is an abundant number, since it is smaller than the sum of its proper divisors (179554207068).

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

102160151676 is a wasteful number, since it uses less digits than its factorization.

102160151676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257980202 (or 257980197 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 102160151676 in words is "one hundred two billion, one hundred sixty million, one hundred fifty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 257980181 515960362 773940543 1031920724 1547881086 2321821629 2837781991 3095762172 4643643258 5675563982 8513345973 9287286516 11351127964 17026691946 25540037919 34053383892 51080075838 102160151676