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10102212012020 = 2253531430908217
BaseRepresentation
bin1001001100000001101011…
…0000100010011111110100
31022202202120112011110010012
42103000122300202133310
52311003312233341040
633252520411115352
72061601142201402
oct223003260423764
938682515143105
1010102212012020
113245362353527
121171a62442b58
13583833013bcb
1426cd41c76472
15127bad46d865
hex9301ac227f4

10102212012020 has 24 divisors (see below), whose sum is σ = 21274743385224. Its totient is φ = 4029437536256.

The previous prime is 10102212012017. The next prime is 10102212012041. The reversal of 10102212012020 is 2021021220101.

It can be written as a sum of positive squares in 4 ways, for example, as 286109451664 + 9816102560356 = 534892^2 + 3133066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102212011986 and 10102212012004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715447049 + ... + 715461168.

It is an arithmetic number, because the mean of its divisors is an integer number (886447641051).

Almost surely, 210102212012020 is an apocalyptic number.

10102212012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102212012020 is an abundant number, since it is smaller than the sum of its proper divisors (11172531373204).

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

10102212012020 is a wasteful number, since it uses less digits than its factorization.

10102212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430908579 (or 1430908577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102212012020 its reverse (2021021220101), we get a palindrome (12123233232121).

The spelling of 10102212012020 in words is "ten trillion, one hundred two billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 1430908217 2861816434 5723632868 7154541085 14309082170 28618164340 505110600601 1010221201202 2020442402404 2525553003005 5051106006010 10102212012020