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122102210122002 = 23211256061620809
BaseRepresentation
bin11011110000110100100010…
…110111000101000100010010
3121000022212010222000001120200
4123300310202313011010102
5112001010311242401002
61111404551515320030
734501410410325135
oct3360644267050422
9530285128001520
10122102210122002
11359a6290463500
1211840287150016
13531925c337376
142221ac82d421c
15e1b25a8d8b1c
hex6f0d22dc5112

122102210122002 has 36 divisors (see below), whose sum is σ = 290791627141470. Its totient is φ = 37000669733280.

The previous prime is 122102210121979. The next prime is 122102210122027. The reversal of 122102210122002 is 200221012201221.

It is a happy number.

122102210122002 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 0 + 1 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121421203918641 + 681006203361 = 11019129^2 + 825231^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28030808227 + ... + 28030812582.

Almost surely, 2122102210122002 is an apocalyptic number.

122102210122002 is an abundant number, since it is smaller than the sum of its proper divisors (168689417019468).

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

122102210122002 is a wasteful number, since it uses less digits than its factorization.

122102210122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56061620839 (or 56061620825 counting only the distinct ones).

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

Adding to 122102210122002 its reverse (200221012201221), we get a palindrome (322323222323223).

The spelling of 122102210122002 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred ten million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 56061620809 112123241618 168184862427 336369724854 504554587281 616677828899 1009109174562 1233355657798 1850033486697 3700066973394 5550100460091 6783456117889 11100200920182 13566912235778 20350368353667 40700736707334 61051105061001 122102210122002