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103222113040 = 2456531975921
BaseRepresentation
bin110000000100010000…
…1000111001100010000
3100212102201121122101201
41200020201013030100
53142344330104130
6115230344040544
710312640325034
oct1401041071420
9325381548351
10103222113040
113a85a212342
1218008a63154
1399702213c7
144dd2d641c4
152a42054bca
hex1808847310

103222113040 has 40 divisors (see below), whose sum is σ = 240359055768. Its totient is φ = 41225594880.

The previous prime is 103222113023. The next prime is 103222113053. The reversal of 103222113040 is 40311222301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1494286336 + 101727826704 = 38656^2 + 318948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 103222112999 and 103222113017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935721 + ... + 1040200.

Almost surely, 2103222113040 is an apocalyptic number.

103222113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103222113040 is an abundant number, since it is smaller than the sum of its proper divisors (137136942728).

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

103222113040 is a wasteful number, since it uses less digits than its factorization.

103222113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976587 (or 1976581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103222113040 its reverse (40311222301), we get a palindrome (143533335341).

The spelling of 103222113040 in words is "one hundred three billion, two hundred twenty-two million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 653 1306 2612 3265 5224 6530 10448 13060 26120 52240 1975921 3951842 7903684 9879605 15807368 19759210 31614736 39518420 79036840 158073680 1290276413 2580552826 5161105652 6451382065 10322211304 12902764130 20644422608 25805528260 51611056520 103222113040