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122102211010122 = 2337482476695167
BaseRepresentation
bin11011110000110100100010…
…111010011101111001001010
3121000022212011000200011212000
4123300310202322131321022
5112001010312004310442
61111404551550331430
734501410421014330
oct3360644272357112
9530285130604760
10122102211010122
11359a6290a0a792
12118402874b9b76
13531925c588695
142221ac8485b50
15e1b25aa11d4c
hex6f0d22e9de4a

122102211010122 has 64 divisors (see below), whose sum is σ = 310107327037440. Its totient is φ = 34885617714288.

The previous prime is 122102211010099. The next prime is 122102211010253. The reversal of 122102211010122 is 221010112201221.

122102211010122 is a `hidden beast` number, since 1 + 221 + 0 + 221 + 101 + 0 + 122 = 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 = 122102211010095 and 122102211010104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14889783 + ... + 21584949.

It is an arithmetic number, because the mean of its divisors is an integer number (4845426984960).

Almost surely, 2122102211010122 is an apocalyptic number.

122102211010122 is an abundant number, since it is smaller than the sum of its proper divisors (188005116027318).

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

122102211010122 is a wasteful number, since it uses less digits than its factorization.

122102211010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743432 (or 6743426 counting only the distinct ones).

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

Adding to 122102211010122 its reverse (221010112201221), we get a palindrome (343112323211343).

The spelling of 122102211010122 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred eleven million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 48247 96494 144741 289482 337729 434223 675458 868446 1013187 1302669 2026374 2605338 3039561 6079122 6695167 9118683 13390334 18237366 20085501 40171002 46866169 60256503 93732338 120513006 140598507 180769509 281197014 361539018 421795521 843591042 1265386563 2530773126 323021722249 646043444498 969065166747 1938130333494 2261152055743 2907195500241 4522304111486 5814391000482 6783456167229 8721586500723 13566912334458 17443173001446 20350368501687 40700737003374 61051105505061 122102211010122