Search a number
-
+
100102000102221 = 3133182797353269
BaseRepresentation
bin10110110000101011010000…
…001010000100101101001101
3111010102122202111111120222110
4112300223100022010231031
5101110032344011232341
6552522120214534233
730041062610536455
oct2660532012045515
9433378674446873
10100102000102221
1129994024449717
12b288531367379
1343b1769137410
141aa0d69756d65
15b88d393dc216
hex5b0ad0284b4d

100102000102221 has 16 divisors (see below), whose sum is σ = 148372857059840. Its totient is φ = 59614094352960.

The previous prime is 100102000102201. The next prime is 100102000102319. The reversal of 100102000102221 is 122201000201001.

It is not a de Polignac number, because 100102000102221 - 25 = 100102000102189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102000102197 and 100102000102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000102201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41398675426 + ... + 41398677843.

It is an arithmetic number, because the mean of its divisors is an integer number (9273303566240).

Almost surely, 2100102000102221 is an apocalyptic number.

It is an amenable number.

100102000102221 is a deficient number, since it is larger than the sum of its proper divisors (48270856957619).

100102000102221 is a wasteful number, since it uses less digits than its factorization.

100102000102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82797353316.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102000102221 its reverse (122201000201001), we get a palindrome (222303000303222).

The spelling of 100102000102221 in words is "one hundred trillion, one hundred two billion, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 13 31 39 93 403 1209 82797353269 248392059807 1076365592497 2566717951339 3229096777491 7700153854017 33367333367407 100102000102221