Search a number
-
+
102331220121 = 3213874625813
BaseRepresentation
bin101111101001101101…
…0101000000010011001
3100210010122020121001200
41133103122220002121
53134033243020441
6115002121104413
710251602006424
oct1372332500231
9323118217050
10102331220121
113a4423402a9
12179ba628109
13985a796030
144d4a8d89bb
1529ddc267b6
hex17d36a8099

102331220121 has 12 divisors (see below), whose sum is σ = 159181898148. Its totient is φ = 62973058464.

The previous prime is 102331220119. The next prime is 102331220149. The reversal of 102331220121 is 121022133201.

102331220121 is a `hidden beast` number, since 102 + 331 + 220 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34034715225 + 68296504896 = 184485^2 + 261336^2 .

It is not a de Polignac number, because 102331220121 - 21 = 102331220119 is a prime.

It is a super-2 number, since 2×1023312201212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102331220094 and 102331220103.

It is not an unprimeable number, because it can be changed into a prime (102331220191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437312790 + ... + 437313023.

It is an arithmetic number, because the mean of its divisors is an integer number (13265158179).

Almost surely, 2102331220121 is an apocalyptic number.

It is an amenable number.

102331220121 is a deficient number, since it is larger than the sum of its proper divisors (56850678027).

102331220121 is a wasteful number, since it uses less digits than its factorization.

102331220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874625832 (or 874625829 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102331220121 its reverse (121022133201), we get a palindrome (223353353322).

The spelling of 102331220121 in words is "one hundred two billion, three hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 874625813 2623877439 7871632317 11370135569 34110406707 102331220121