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102212112220002 = 23670104329369
BaseRepresentation
bin10111001111011000011100…
…101000111111111101100010
3111101220101022211201121000000
4113033120130220333331202
5101344120401212020002
61001215332432440430
730346403265600141
oct2717303450777542
9441811284647000
10102212112220002
112a627a05758334
12b5694856a9116
13450573a192965
141b35142253758
15bc3b8925c61c
hex5cf61ca3ff62

102212112220002 has 28 divisors (see below), whose sum is σ = 229872096004230. Its totient is φ = 34070704072848.

The previous prime is 102212112219991. The next prime is 102212112220003. The reversal of 102212112220002 is 200022211212201.

It is a happy number.

102212112220002 is a `hidden beast` number, since 10 + 221 + 211 + 2 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101537645874921 + 674466345081 = 10076589^2 + 821259^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102212112220003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 35052163227 + ... + 35052166142.

Almost surely, 2102212112220002 is an apocalyptic number.

102212112220002 is an abundant number, since it is smaller than the sum of its proper divisors (127659983784228).

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

102212112220002 is an frugal number, since it uses more digits than its factorization.

102212112220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70104329389 (or 70104329374 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102212112220002 its reverse (200022211212201), we get a palindrome (302234323432203).

The spelling of 102212112220002 in words is "one hundred two trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 70104329369 140208658738 210312988107 420625976214 630938964321 1261877928642 1892816892963 3785633785926 5678450678889 11356901357778 17035352036667 34070704073334 51106056110001 102212112220002