Search a number
-
+
102101210112222 = 2329955156978729
BaseRepresentation
bin10111001101110001001010…
…010111000010000011011110
3111101111210001212211210101200
4113031301022113002003132
5101340311234242042342
61001052352015420330
730335366111331636
oct2715611227020336
9441453055753350
10102101210112222
112a594975376302
12b54ba948246a6
1344c8144b11b89
141b2da213256c6
15bc0d47d6d94c
hex5cdc4a5c20de

102101210112222 has 24 divisors (see below), whose sum is σ = 221221514629440. Its totient is φ = 34033394234400.

The previous prime is 102101210112199. The next prime is 102101210112311. The reversal of 102101210112222 is 222211012101201.

102101210112222 is a `hidden beast` number, since 1 + 0 + 210 + 121 + 0 + 112 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102101210112195 and 102101210112204.

It is a congruent number.

It is an unprimeable number.

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, 26697447 + ... + 30281282.

It is an arithmetic number, because the mean of its divisors is an integer number (9217563109560).

Almost surely, 2102101210112222 is an apocalyptic number.

102101210112222 is an abundant number, since it is smaller than the sum of its proper divisors (119120304517218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101210112222 is a wasteful number, since it uses less digits than its factorization.

102101210112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57078288 (or 57078285 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102101210112222 its reverse (222211012101201), we get a palindrome (324312222213423).

The spelling of 102101210112222 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 99551 199102 298653 597306 895959 1791918 56978729 113957458 170936187 341872374 512808561 1025617122 5672289450679 11344578901358 17016868352037 34033736704074 51050605056111 102101210112222