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102220022200200 = 233521013168180359
BaseRepresentation
bin10111001111011111110100…
…000111001011011110001000
3111101221010202002202012221120
4113033133310013023132020
5101344233101140401300
61001223121355035240
730350103304402662
oct2717376407133610
9441833662665846
10102220022200200
112a6302a4730553
12b56ab1273bb20
1345063cab77b08
141b356929a7532
15bc3e9d8c53a0
hex5cf7f41cb788

102220022200200 has 96 divisors (see below), whose sum is σ = 317194886174400. Its totient is φ = 27231763567360.

The previous prime is 102220022200099. The next prime is 102220022200229. The reversal of 102220022200200 is 2002220022201.

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 102220022200200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83482380 + ... + 84697979.

It is an arithmetic number, because the mean of its divisors is an integer number (3304113397650).

Almost surely, 2102220022200200 is an apocalyptic number.

102220022200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220022200200 is an abundant number, since it is smaller than the sum of its proper divisors (214974863974200).

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

102220022200200 is a wasteful number, since it uses less digits than its factorization.

102220022200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168181391 (or 168181382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102220022200200 its reverse (2002220022201), we get a palindrome (104222242222401).

The spelling of 102220022200200 in words is "one hundred two trillion, two hundred twenty billion, twenty-two million, two hundred 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 1013 2026 3039 4052 5065 6078 8104 10130 12156 15195 20260 24312 25325 30390 40520 50650 60780 75975 101300 121560 151950 202600 303900 607800 168180359 336360718 504541077 672721436 840901795 1009082154 1345442872 1681803590 2018164308 2522705385 3363607180 4036328616 4204508975 5045410770 6727214360 8409017950 10090821540 12613526925 16818035900 20181643080 25227053850 33636071800 50454107700 100908215400 170366703667 340733407334 511100111001 681466814668 851833518335 1022200222002 1362933629336 1703667036670 2044400444004 2555500555005 3407334073340 4088800888008 4259167591675 5111001110010 6814668146680 8518335183350 10222002220020 12777502775025 17036670366700 20444004440040 25555005550050 34073340733400 51110011100100 102220022200200