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102222012012200 = 2352576898859749
BaseRepresentation
bin10111001111100001101010…
…101101101101011010101000
3111101221022212202221010212022
4113033201222231231122220
5101344301140033342300
61001224051035404012
730350203515463103
oct2717415255553250
9441838782833768
10102222012012200
112a631125949783
12b56b388bb3608
134506657195b72
141b35800d6d73a
15bc4068424285
hex5cf86ab6d6a8

102222012012200 has 48 divisors (see below), whose sum is σ = 237670324537500. Its totient is φ = 40888091409920.

The previous prime is 102222012012157. The next prime is 102222012012223. The reversal of 102222012012200 is 2210210222201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1277673036964 + 100944338975236 = 1130342^2 + 10047106^2 .

It is a super-2 number, since 2×1022220120122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7107926 + ... + 15967674.

Almost surely, 2102222012012200 is an apocalyptic number.

102222012012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222012012200 is an abundant number, since it is smaller than the sum of its proper divisors (135448312525300).

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

102222012012200 is a wasteful number, since it uses less digits than its factorization.

102222012012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917454 (or 8917445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102222012012200 its reverse (2210210222201), we get a palindrome (104432222234401).

The spelling of 102222012012200 in words is "one hundred two trillion, two hundred twenty-two billion, twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 57689 115378 230756 288445 461512 576890 1153780 1442225 2307560 2884450 5768900 8859749 11537800 17719498 35438996 44298745 70877992 88597490 177194980 221493725 354389960 442987450 885974900 1771949800 511110060061 1022220120122 2044440240244 2555550300305 4088880480488 5111100600610 10222201201220 12777751501525 20444402402440 25555503003050 51111006006100 102222012012200