Search a number
-
+
102124056610053 = 3347122921654697
BaseRepresentation
bin10111001110000110011100…
…000111100000010100000101
3111101120222001002120010121000
4113032012130013200110011
5101341200031443010203
61001111051031243513
730340135216344222
oct2716063407402405
9441528032503530
10102124056610053
112a5a3629651275
12b5543abb19599
1344ca34614704a
141b30b8b696949
15bc173395b4a3
hex5ce19c1e0505

102124056610053 has 32 divisors (see below), whose sum is σ = 154515432107520. Its totient is φ = 66633492360960.

The previous prime is 102124056609989. The next prime is 102124056610061. The reversal of 102124056610053 is 350016650421201.

102124056610053 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 40 + 566 + 1 + 0 + 0 + 53 = 666.

It is not a de Polignac number, because 102124056610053 - 26 = 102124056609989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102124056610553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155659401 + ... + 156314097.

It is an arithmetic number, because the mean of its divisors is an integer number (4828607253360).

Almost surely, 2102124056610053 is an apocalyptic number.

It is an amenable number.

102124056610053 is a deficient number, since it is larger than the sum of its proper divisors (52391375497467).

102124056610053 is a wasteful number, since it uses less digits than its factorization.

102124056610053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777674 (or 777668 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102124056610053 in words is "one hundred two trillion, one hundred twenty-four billion, fifty-six million, six hundred ten thousand, fifty-three".

Divisors: 1 3 9 27 47 141 423 1269 122921 368763 654697 1106289 1964091 3318867 5777287 5892273 17331861 17676819 30770759 51995583 92312277 155986749 276936831 830810493 80476009937 241428029811 724284089433 2172852268299 3782372467039 11347117401117 34041352203351 102124056610053