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10422465900 = 22352711538513
BaseRepresentation
bin10011011010011101…
…00011010101101100
3222220100201010101120
421231032203111230
5132321122402100
64442113340540
7516164332650
oct115516432554
928810633346
1010422465900
114469234990
12202a567750
13ca13966b2
1470c2d4a60
1541000d0a0
hex26d3a356c

10422465900 has 288 divisors, whose sum is σ = 38310547968. Its totient is φ = 2124595200.

The previous prime is 10422465899. The next prime is 10422465901. The reversal of 10422465900 is 956422401.

It is an interprime number because it is at equal distance from previous prime (10422465899) and next prime (10422465901).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10422465901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1220044 + ... + 1228556.

It is an arithmetic number, because the mean of its divisors is an integer number (133022736).

Almost surely, 210422465900 is an apocalyptic number.

10422465900 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 10422465900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155273984).

10422465900 is an abundant number, since it is smaller than the sum of its proper divisors (27888082068).

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

10422465900 is a wasteful number, since it uses less digits than its factorization.

10422465900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10422465900 in words is "ten billion, four hundred twenty-two million, four hundred sixty-five thousand, nine hundred".