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102202010101200 = 2435285168341751
BaseRepresentation
bin10111001111001111000010…
…100000011110010111010000
3111101212102020210210210012210
4113033033002200132113100
5101343434204041214300
61001210542201152120
730345565041156552
oct2717170240362720
9441772223723183
10102202010101200
112a6236a1334a19
12b56752648b640
1345047ba29c479
141b3486470b4d2
15bc379742c050
hex5cf3c281e5d0

102202010101200 has 60 divisors (see below), whose sum is σ = 327387105694688. Its totient is φ = 27253869360000.

The previous prime is 102202010101189. The next prime is 102202010101231. The reversal of 102202010101200 is 2101010202201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42584169676 + ... + 42584172075.

Almost surely, 2102202010101200 is an apocalyptic number.

102202010101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202010101200 is an abundant number, since it is smaller than the sum of its proper divisors (225185095593488).

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

102202010101200 is a wasteful number, since it uses less digits than its factorization.

102202010101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85168341772 (or 85168341761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102202010101200 its reverse (2101010202201), we get a palindrome (104303020303401).

The spelling of 102202010101200 in words is "one hundred two trillion, two hundred two billion, ten million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 85168341751 170336683502 255505025253 340673367004 425841708755 511010050506 681346734008 851683417510 1022020101012 1277525126265 1362693468016 1703366835020 2044040202024 2129208543775 2555050252530 3406733670040 4088080404048 4258417087550 5110100505060 6387625631325 6813467340080 8516834175100 10220201010120 12775251262650 17033668350200 20440402020240 25550502525300 34067336700400 51101005050600 102202010101200