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10122303440 = 245126528793
BaseRepresentation
bin10010110110101011…
…00001011111010000
3222010102220021220102
421123111201133100
5131212302202230
64352232031532
7505561105514
oct113325413720
928112807812
1010122303440
11432485a437
121b65b325a8
13c5413c982
146c04bc144
153e39bb045
hex25b5617d0

10122303440 has 20 divisors (see below), whose sum is σ = 23534355684. Its totient is φ = 4048921344.

The previous prime is 10122303439. The next prime is 10122303449. The reversal of 10122303440 is 4430322101.

10122303440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2084105104 + 8038198336 = 45652^2 + 89656^2 .

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

It is a super-2 number, since 2×101223034402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122303449) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 63264317 + ... + 63264476.

Almost surely, 210122303440 is an apocalyptic number.

10122303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122303440 is an abundant number, since it is smaller than the sum of its proper divisors (13412052244).

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

10122303440 is a wasteful number, since it uses less digits than its factorization.

10122303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126528806 (or 126528800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10122303440 its reverse (4430322101), we get a palindrome (14552625541).

The spelling of 10122303440 in words is "ten billion, one hundred twenty-two million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 126528793 253057586 506115172 632643965 1012230344 1265287930 2024460688 2530575860 5061151720 10122303440