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202002021000000 = 263256131726513
BaseRepresentation
bin101101111011100001000010…
…101101001010001101000000
3222111020012112011100100100100
4231323201002231022031000
5202434100114334000000
61553342240343322400
760356110251120054
oct5573410255121500
9874205464310310
10202002021000000
1159400637744371
121a7a5418150400
13889392a440c30
1437c4d42a77c64
1518548096cba00
hexb7b842b4a340

202002021000000 has 588 divisors, whose sum is σ = 779416675604476. Its totient is φ = 49723545600000.

The previous prime is 202002020999869. The next prime is 202002021000053. The reversal of 202002021000000 is 120200202.

It can be written as a sum of positive squares in 14 ways, for example, as 75314209997376 + 126687811002624 = 8678376^2 + 11255568^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 116136744 + ... + 117863256.

Almost surely, 2202002021000000 is an apocalyptic number.

202002021000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202002021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389708337802238).

202002021000000 is an abundant number, since it is smaller than the sum of its proper divisors (577414654604476).

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

202002021000000 is an equidigital number, since it uses as much as digits as its factorization.

202002021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726574 (or 1726536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202002021000000 its reverse (120200202), we get a palindrome (202002141200202).

The spelling of 202002021000000 in words is "two hundred two trillion, two billion, twenty-one million", and thus it is an aban number.