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10022330320 = 245125279129
BaseRepresentation
bin10010101010110000…
…01001111111010000
3221212110210010120021
421111120021333100
5131011204032240
64334301153224
7503235254632
oct112530117720
927773703507
1010022330320
114283387122
121b3855b814
13c39508492
146b10d6a52
153d9d1e54a
hex255609fd0

10022330320 has 20 divisors (see below), whose sum is σ = 23301918180. Its totient is φ = 4008932096.

The previous prime is 10022330303. The next prime is 10022330323. The reversal of 10022330320 is 2303322001.

It can be written as a sum of positive squares in 2 ways, for example, as 7292476816 + 2729853504 = 85396^2 + 52248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10022330294 and 10022330303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022330323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62639485 + ... + 62639644.

It is an arithmetic number, because the mean of its divisors is an integer number (1165095909).

Almost surely, 210022330320 is an apocalyptic number.

10022330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022330320 is an abundant number, since it is smaller than the sum of its proper divisors (13279587860).

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

10022330320 is a wasteful number, since it uses less digits than its factorization.

10022330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125279142 (or 125279136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10022330320 its reverse (2303322001), we get a palindrome (12325652321).

The spelling of 10022330320 in words is "ten billion, twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125279129 250558258 501116516 626395645 1002233032 1252791290 2004466064 2505582580 5011165160 10022330320