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200210210002000 = 2453119100464091
BaseRepresentation
bin101101100001011100010010…
…011100101001010001010000
3222020212220112202211120210001
4231201130102130221101100
5202220221002230031000
61545451144543215344
760112465433666302
oct5541342234512120
9866786482746701
10200210210002000
115887a745093130
121a5560b62a7554
138793984945253
143762323ad1972
151822dd8a5446a
hexb61712729450

200210210002000 has 80 divisors (see below), whose sum is σ = 528118132186944. Its totient is φ = 72803712720000.

The previous prime is 200210210001983. The next prime is 200210210002001. The reversal of 200210210002000 is 200012012002.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210210002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4550210046 + ... + 4550254045.

Almost surely, 2200210210002000 is an apocalyptic number.

200210210002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210210002000 is an abundant number, since it is smaller than the sum of its proper divisors (327907922184944).

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

200210210002000 is a wasteful number, since it uses less digits than its factorization.

200210210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100464125 (or 9100464109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200210210002000 its reverse (200012012002), we get a palindrome (200410222014002).

The spelling of 200210210002000 in words is "two hundred trillion, two hundred ten billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 9100464091 18200928182 36401856364 45502320455 72803712728 91004640910 100105105001 145607425456 182009281820 200210210002 227511602275 364018563640 400420420004 455023204550 500525525005 728037127280 800840840008 910046409100 1001051050010 1137558011375 1601681680016 1820092818200 2002102100020 2275116022750 2502627625025 3640185636400 4004204200040 4550232045500 5005255250050 8008408400080 9100464091000 10010510500100 12513138125125 18200928182000 20021021000200 25026276250250 40042042000400 50052552500500 100105105001000 200210210002000