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200012020210002 = 237113132937256499
BaseRepresentation
bin101101011110100011101101…
…011010100101100101010010
3222020011221222120202222211110
4231132203231122211211102
5202203444104133210002
61545220130440154150
760062251213363530
oct5536435532454522
9866157876688743
10200012020210002
1158803692119000
121a523804a68956
13877b08b67b590
1437568c21c3150
15181cb894a2e6c
hexb5e8ed6a5952

200012020210002 has 512 divisors, whose sum is σ = 575350594560000. Its totient is φ = 45049749212160.

The previous prime is 200012020210001. The next prime is 200012020210103.

200012020210002 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 200012020210002.

It is not an unprimeable number, because it can be changed into a prime (200012020210001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 779648749 + ... + 779905247.

It is an arithmetic number, because the mean of its divisors is an integer number (1123731630000).

Almost surely, 2200012020210002 is an apocalyptic number.

200012020210002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012020210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287675297280000).

200012020210002 is an abundant number, since it is smaller than the sum of its proper divisors (375338574349998).

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

200012020210002 is a wasteful number, since it uses less digits than its factorization.

200012020210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256623 (or 256601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 200012020210002 in words is "two hundred trillion, twelve billion, twenty million, two hundred ten thousand, two".