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10107044220 = 22357134343049
BaseRepresentation
bin10010110100110110…
…10100000101111100
3222002101012001012010
421122123110011330
5131144400403340
64350525011220
7505314313140
oct113233240574
928071161163
1010107044220
114317187a09
121b609b3b10
13c50c29350
146bc469220
153e24a4b80
hex25a6d417c

10107044220 has 192 divisors, whose sum is σ = 35641267200. Its totient is φ = 2082834432.

The previous prime is 10107044219. The next prime is 10107044237. The reversal of 10107044220 is 2244070101.

It is a happy number.

10107044220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 213256 + ... + 256304.

It is an arithmetic number, because the mean of its divisors is an integer number (185631600).

Almost surely, 210107044220 is an apocalyptic number.

10107044220 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 10107044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820633600).

10107044220 is an abundant number, since it is smaller than the sum of its proper divisors (25534222980).

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

10107044220 is a wasteful number, since it uses less digits than its factorization.

10107044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43124 (or 43122 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 10107044220 in words is "ten billion, one hundred seven million, forty-four thousand, two hundred twenty".