Search a number
-
+
102320543165013 = 321929193106908299
BaseRepresentation
bin10111010000111101011011…
…101000001110101001010101
3111102021202012120200022120100
4113100331123220032221111
5101402404433022240023
61001341224132124313
730360262305453225
oct2720753350165125
9442252176608510
10102320543165013
112a669998142188
12b5864a6a66699
134512a2a59cc54
141b3a4aacba085
15bc68d3719c43
hex5d0f5ba0ea55

102320543165013 has 48 divisors (see below), whose sum is σ = 161773639560000. Its totient is φ = 62071813085184.

The previous prime is 102320543165003. The next prime is 102320543165059. The reversal of 102320543165013 is 310561345023201.

102320543165013 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 205 + 431 + 6 + 5 + 0 + 13 = 666.

It is not a de Polignac number, because 102320543165013 - 28 = 102320543164757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320543165003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52497063 + ... + 54411236.

It is an arithmetic number, because the mean of its divisors is an integer number (3370284157500).

Almost surely, 2102320543165013 is an apocalyptic number.

It is an amenable number.

102320543165013 is a deficient number, since it is larger than the sum of its proper divisors (59453096394987).

102320543165013 is a wasteful number, since it uses less digits than its factorization.

102320543165013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106908546 (or 106908543 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 102320543165013 its reverse (310561345023201), we get a palindrome (412881888188214).

The spelling of 102320543165013 in words is "one hundred two trillion, three hundred twenty billion, five hundred forty-three million, one hundred sixty-five thousand, thirteen".

Divisors: 1 3 9 19 29 57 87 171 193 261 551 579 1653 1737 3667 4959 5597 11001 16791 33003 50373 106343 319029 957087 106908299 320724897 962174691 2031257681 3100340671 6093773043 9301022013 18281319129 20633301707 27903066039 58906472749 61899905121 176719418247 185699715363 392032732433 530158254741 598365749503 1176098197299 1795097248509 3528294591897 5385291745527 11368949240557 34106847721671 102320543165013