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10103103040 = 26561517577
BaseRepresentation
bin10010110100011000…
…10001111001000000
3222002002202210220111
421122030101321000
5131142343244130
64350304321104
7505235646622
oct113214217100
928062683814
1010103103040
114314a35938
121b5b613194
13c501794a4
146bbb20c12
153e1e7702a
hex25a311e40

10103103040 has 56 divisors (see below), whose sum is σ = 24452455032. Its totient is φ = 3974983680.

The previous prime is 10103103013. The next prime is 10103103067. The reversal of 10103103040 is 4030130101.

It is an interprime number because it is at equal distance from previous prime (10103103013) and next prime (10103103067).

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 10102662144 = 664^2 + 100512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10103103040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239269 + ... + 278308.

Almost surely, 210103103040 is an apocalyptic number.

10103103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103103040 is an abundant number, since it is smaller than the sum of its proper divisors (14349351992).

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

10103103040 is an equidigital number, since it uses as much as digits as its factorization.

10103103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517655 (or 517645 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10103103040 its reverse (4030130101), we get a palindrome (14133233141).

The spelling of 10103103040 in words is "ten billion, one hundred three million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 19520 517577 1035154 2070308 2587885 4140616 5175770 8281232 10351540 16562464 20703080 31572197 33124928 41406160 63144394 82812320 126288788 157860985 165624640 252577576 315721970 505155152 631443940 1010310304 1262887880 2020620608 2525775760 5051551520 10103103040