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10012211202120 = 23353789239106013
BaseRepresentation
bin1001000110110010011001…
…0010101100100001001000
31022110011021012202121000120
42101230212102230201020
52303020002031431440
633143314001303240
72052233633012541
oct221544622544110
938404235677016
1010012211202120
1132101782299a6
121158525334b20
135781bbc9a0ca
14268844c074c8
15125691ed1dd0
hex91b264ac848

10012211202120 has 256 divisors, whose sum is σ = 31325864832000. Its totient is φ = 2557803257856.

The previous prime is 10012211202073. The next prime is 10012211202163. The reversal of 10012211202120 is 2120211221001.

It is a super-3 number, since 3×100122112021203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012211202120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94390234 + ... + 94496246.

It is an arithmetic number, because the mean of its divisors is an integer number (122366659500).

Almost surely, 210012211202120 is an apocalyptic number.

10012211202120 is a gapful number since it is divisible by the number (10) 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 10012211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662932416000).

10012211202120 is an abundant number, since it is smaller than the sum of its proper divisors (21313653629880).

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

10012211202120 is a wasteful number, since it uses less digits than its factorization.

10012211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106392 (or 106388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012211202120 its reverse (2120211221001), we get a palindrome (12132422423121).

The spelling of 10012211202120 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred two thousand, one hundred twenty".