Search a number
-
+
102314521053 = 3248723343491
BaseRepresentation
bin101111101001001101…
…0111011000111011101
3100210002110211012020200
41133102122323013131
53134020004133203
6115000323134113
710251310036203
oct1372232730735
9323073735220
10102314521053
113a433975018
12179b4b14339
13985719a224
144d485cd073
1529dc5289a3
hex17d26bb1dd

102314521053 has 12 divisors (see below), whose sum is σ = 148091113248. Its totient is φ = 68069616840.

The previous prime is 102314521031. The next prime is 102314521061. The reversal of 102314521053 is 350125413201.

102314521053 is a `hidden beast` number, since 102 + 3 + 1 + 452 + 105 + 3 = 666.

It is not a de Polignac number, because 102314521053 - 218 = 102314258909 is a prime.

It is a super-2 number, since 2×1023145210532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314521093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11667363 + ... + 11676128.

It is an arithmetic number, because the mean of its divisors is an integer number (12340926104).

Almost surely, 2102314521053 is an apocalyptic number.

It is an amenable number.

102314521053 is a deficient number, since it is larger than the sum of its proper divisors (45776592195).

102314521053 is a wasteful number, since it uses less digits than its factorization.

102314521053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23343984 (or 23343981 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102314521053 its reverse (350125413201), we get a palindrome (452439934254).

The spelling of 102314521053 in words is "one hundred two billion, three hundred fourteen million, five hundred twenty-one thousand, fifty-three".

Divisors: 1 3 9 487 1461 4383 23343491 70030473 210091419 11368280117 34104840351 102314521053