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2002102202000 = 24533132291971
BaseRepresentation
bin11101001000100110100…
…101110010111010010000
321002101202221111202222102
4131020212211302322100
5230300301130431000
64131430354255532
7264434646632615
oct35104645627220
97071687452872
102002102202000
117020a555330a
1228402bb875a8
13116a49c43594
146cc8bb5050c
153712c82c3d5
hex1d226972e90

2002102202000 has 80 divisors (see below), whose sum is σ = 4997247250944. Its totient is φ = 775007280000.

The previous prime is 2002102201999. The next prime is 2002102202029. The reversal of 2002102202000 is 2022012002.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16083986 + ... + 16207985.

Almost surely, 22002102202000 is an apocalyptic number.

2002102202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002102202000 is an abundant number, since it is smaller than the sum of its proper divisors (2995145048944).

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

2002102202000 is a wasteful number, since it uses less digits than its factorization.

2002102202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32292025 (or 32292009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002102202000 its reverse (2022012002), we get a palindrome (2004124214002).

The spelling of 2002102202000 in words is "two trillion, two billion, one hundred two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 32291971 64583942 129167884 161459855 258335768 322919710 516671536 645839420 807299275 1001051101 1291678840 1614598550 2002102202 2583357680 3229197100 4004204404 4036496375 5005255505 6458394200 8008408808 8072992750 10010511010 12916788400 16016817616 16145985500 20021022020 25026277525 32291971000 40042044040 50052555050 64583942000 80084088080 100105110100 125131387625 200210220200 250262775250 400420440400 500525550500 1001051101000 2002102202000