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102220201102200 = 23352419406603823
BaseRepresentation
bin10111001111011111111110…
…110001101000101101111000
3111101221011012120101101100120
4113033133332301220231320
5101344233432440232300
61001223151225333240
730350110606136106
oct2717377661505570
9441834176341316
10102220201102200
112a630386713245
12b56ab62637220
134506428c55c9c
141b356ac656c76
15bc3eae4633a0
hex5cf7fec68b78

102220201102200 has 96 divisors (see below), whose sum is σ = 317638907308800. Its totient is φ = 27193663615360.

The previous prime is 102220201102169. The next prime is 102220201102211. The reversal of 102220201102200 is 2201102022201.

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 102220201102200.

It is a congruent number.

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, 203050512 + ... + 203553311.

It is an arithmetic number, because the mean of its divisors is an integer number (3308738617800).

Almost surely, 2102220201102200 is an apocalyptic number.

102220201102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220201102200 is an abundant number, since it is smaller than the sum of its proper divisors (215418706206600).

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

102220201102200 is a wasteful number, since it uses less digits than its factorization.

102220201102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406604261 (or 406604252 counting only the distinct ones).

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

Adding to 102220201102200 its reverse (2201102022201), we get a palindrome (104421303124401).

The spelling of 102220201102200 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 419 600 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 10475 12570 16760 20950 25140 31425 41900 50280 62850 83800 125700 251400 406603823 813207646 1219811469 1626415292 2033019115 2439622938 3252830584 4066038230 4879245876 6099057345 8132076460 9758491752 10165095575 12198114690 16264152920 20330191150 24396229380 30495286725 40660382300 48792458760 60990573450 81320764600 121981146900 170367001837 243962293800 340734003674 511101005511 681468007348 851835009185 1022202011022 1362936014696 1703670018370 2044404022044 2555505027555 3407340036740 4088808044088 4259175045925 5111010055110 6814680073480 8518350091850 10222020110220 12777525137775 17036700183700 20444040220440 25555050275550 34073400367400 51110100551100 102220201102200