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202002011020120 = 235678916722322741
BaseRepresentation
bin101101111011100001000010…
…000111000101101101011000
3222111020012111110120022112011
4231323201002013011231120
5202434100104310120440
61553342235345355304
760356110100233153
oct5573410207055530
9874205443508464
10202002011020120
1159400632048333
121a7a5414938b34
13889392835858c
1437c4d415dac9a
1518548088a99ea
hexb7b8421c5b58

202002011020120 has 256 divisors, whose sum is σ = 471389480755200. Its totient is φ = 77875009597440.

The previous prime is 202002011020067. The next prime is 202002011020207. The reversal of 202002011020120 is 21020110200202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202002011020120.

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 63 ways as a sum of consecutive naturals, for example, 8882711950 + ... + 8882734690.

It is an arithmetic number, because the mean of its divisors is an integer number (1841365159200).

Almost surely, 2202002011020120 is an apocalyptic number.

202002011020120 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 202002011020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235694740377600).

202002011020120 is an abundant number, since it is smaller than the sum of its proper divisors (269387469735080).

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

202002011020120 is a wasteful number, since it uses less digits than its factorization.

202002011020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23298 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202002011020120 its reverse (21020110200202), we get a palindrome (223022121220322).

The spelling of 202002011020120 in words is "two hundred two trillion, two billion, eleven million, twenty thousand, one hundred twenty".