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10103320100 = 2252353328597
BaseRepresentation
bin10010110100011010…
…00110111000100100
3222002010011211122202
421122031012320210
5131142422220400
64350313114032
7505240542506
oct113215067044
928063154582
1010103320100
114315073a25
121b5b6b8918
13c50224223
146bbb79d76
153e1ebb4d5
hex25a346e24

10103320100 has 36 divisors (see below), whose sum is σ = 21931177044. Its totient is φ = 4040042880.

The previous prime is 10103320061. The next prime is 10103320151. The reversal of 10103320100 is 102330101.

It can be written as a sum of positive squares in 6 ways, for example, as 1442784256 + 8660535844 = 37984^2 + 93062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339002 + ... + 367598.

Almost surely, 210103320100 is an apocalyptic number.

10103320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103320100 is an abundant number, since it is smaller than the sum of its proper divisors (11827856944).

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

10103320100 is a wasteful number, since it uses less digits than its factorization.

10103320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32144 (or 32137 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10103320100 its reverse (102330101), we get a palindrome (10205650201).

The spelling of 10103320100 in words is "ten billion, one hundred three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3533 7066 14132 17665 28597 35330 57194 70660 88325 114388 142985 176650 285970 353300 571940 714925 1429850 2859700 101033201 202066402 404132804 505166005 1010332010 2020664020 2525830025 5051660050 10103320100