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10112214020 = 2251915726393
BaseRepresentation
bin10010110101011110…
…00010010000000100
3222002201220200211012
421122233002100010
5131202211322040
64351231501352
7505406254346
oct113257022004
928081820735
1010112214020
11431a099077
121b62687858
13c520194bc
146bd013296
153e2b76865
hex25abc2404

10112214020 has 24 divisors (see below), whose sum is σ = 21237562584. Its totient is φ = 4044521216.

The previous prime is 10112214001. The next prime is 10112214037. The reversal of 10112214020 is 2041221101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 10109498116 = 1648^2 + 100546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10112213986 and 10112214004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369944 + ... + 396336.

It is an arithmetic number, because the mean of its divisors is an integer number (884898441).

Almost surely, 210112214020 is an apocalyptic number.

10112214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112214020 is an abundant number, since it is smaller than the sum of its proper divisors (11125348564).

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

10112214020 is a wasteful number, since it uses less digits than its factorization.

10112214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45559 (or 45557 counting only the distinct ones).

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

Adding to 10112214020 its reverse (2041221101), we get a palindrome (12153435121).

The spelling of 10112214020 in words is "ten billion, one hundred twelve million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 19157 26393 38314 52786 76628 95785 105572 131965 191570 263930 383140 527860 505610701 1011221402 2022442804 2528053505 5056107010 10112214020