Search a number
-
+
102113300221101 = 3413869911147683
BaseRepresentation
bin10111001101111100011010…
…111111001000110010101101
3111101112221021110111221220000
4113031330122333020302231
5101341011014324033401
61001102111424414513
730336304525503531
oct2715743277106255
9441487243457800
10102113300221101
112a59a009983024
12b5522a9777439
1344c9320836060
141b3044acbbbc1
15bc130448d186
hex5cdf1afc8cad

102113300221101 has 40 divisors (see below), whose sum is σ = 164292337255200. Its totient is φ = 62831724647328.

The previous prime is 102113300221069. The next prime is 102113300221109. The reversal of 102113300221101 is 101122003311201.

102113300221101 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 330 + 0 + 221 + 101 = 666.

It is not a de Polignac number, because 102113300221101 - 25 = 102113300221069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113300221109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3586206 + ... + 14733888.

It is an arithmetic number, because the mean of its divisors is an integer number (4107308431380).

Almost surely, 2102113300221101 is an apocalyptic number.

It is an amenable number.

102113300221101 is a deficient number, since it is larger than the sum of its proper divisors (62179037034099).

102113300221101 is a wasteful number, since it uses less digits than its factorization.

102113300221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156407 (or 11156398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102113300221101 its reverse (101122003311201), we get a palindrome (203235303532302).

The spelling of 102113300221101 in words is "one hundred two trillion, one hundred thirteen billion, three hundred million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 8699 26097 78291 113087 234873 339261 704619 1017783 3053349 9160047 11147683 33443049 100329147 144919879 300987441 434759637 902962323 1304278911 3912836733 11738510199 96973694417 290921083251 872763249753 1260658027421 2618289749259 3781974082263 7854869247777 11345922246789 34037766740367 102113300221101