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102220200112200 = 233521522711188481
BaseRepresentation
bin10111001111011111111110…
…101101110111000001001000
3111101221011012111112002022220
4113033133332231313001020
5101344233432212042300
61001223151152214040
730350110564543602
oct2717377655670110
9441834174462286
10102220200112200
112a6303860a7465
12b56ab6223a320
13450642899a4a1
141b356ac47a172
15bc3eae319da0
hex5cf7feb77048

102220200112200 has 96 divisors (see below), whose sum is σ = 316903459246560. Its totient is φ = 27256927436800.

The previous prime is 102220200112187. The next prime is 102220200112223. The reversal of 102220200112200 is 2211002022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102220200112200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3541960 + ... + 14730440.

It is an arithmetic number, because the mean of its divisors is an integer number (3301077700485).

Almost surely, 2102220200112200 is an apocalyptic number.

102220200112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220200112200 is an abundant number, since it is smaller than the sum of its proper divisors (214683259134360).

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

102220200112200 is a wasteful number, since it uses less digits than its factorization.

102220200112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203727 (or 11203718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220200112200 its reverse (2211002022201), we get a palindrome (104431202134401).

The spelling of 102220200112200 in words is "one hundred two trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 15227 30454 45681 60908 76135 91362 121816 152270 182724 228405 304540 365448 380675 456810 609080 761350 913620 1142025 1522700 1827240 2284050 3045400 4568100 9136200 11188481 22376962 33565443 44753924 55942405 67130886 89507848 111884810 134261772 167827215 223769620 268523544 279712025 335654430 447539240 559424050 671308860 839136075 1118848100 1342617720 1678272150 2237696200 3356544300 6713088600 170367000187 340734000374 511101000561 681468000748 851835000935 1022202001122 1362936001496 1703670001870 2044404002244 2555505002805 3407340003740 4088808004488 4259175004675 5111010005610 6814680007480 8518350009350 10222020011220 12777525014025 17036700018700 20444040022440 25555050028050 34073400037400 51110100056100 102220200112200