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10122024440 = 2351123004601
BaseRepresentation
bin10010110110101000…
…11101010111111000
3222010102101010012002
421123110131113320
5131212214240230
64352222040132
7505555534223
oct113324352770
928112333162
1010122024440
114324689860
121b65a19048
13c54072998
146c04485ba
153e3963545
hex25b51d5f8

10122024440 has 32 divisors (see below), whose sum is σ = 24844970160. Its totient is φ = 3680736000.

The previous prime is 10122024433. The next prime is 10122024443. The reversal of 10122024440 is 4442022101.

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 (10122024443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11501861 + ... + 11502740.

Almost surely, 210122024440 is an apocalyptic number.

10122024440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122024440 is an abundant number, since it is smaller than the sum of its proper divisors (14722945720).

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

10122024440 is a wasteful number, since it uses less digits than its factorization.

10122024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23004623 (or 23004619 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10122024440 its reverse (4442022101), we get a palindrome (14564046541).

The spelling of 10122024440 in words is "ten billion, one hundred twenty-two million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23004601 46009202 92018404 115023005 184036808 230046010 253050611 460092020 506101222 920184040 1012202444 1265253055 2024404888 2530506110 5061012220 10122024440