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10103213300 = 2252397254489
BaseRepresentation
bin10010110100011001…
…01100110011110100
3222002002222102011012
421122030230303310
5131142410311200
64350310531352
7505236616235
oct113214546364
928062872135
1010103213300
114315000764
121b5b666b58
13c501b772b
146bbb4d08c
153e1e99a35
hex25a32ccf4

10103213300 has 36 divisors (see below), whose sum is σ = 21979283340. Its totient is φ = 4031089920.

The previous prime is 10103213269. The next prime is 10103213333. The reversal of 10103213300 is 331230101.

10103213300 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 6 ways, for example, as 416323216 + 9686890084 = 20404^2 + 98422^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87545 + ... + 166944.

Almost surely, 210103213300 is an apocalyptic number.

10103213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103213300 is an abundant number, since it is smaller than the sum of its proper divisors (11876070040).

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

10103213300 is a wasteful number, since it uses less digits than its factorization.

10103213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254900 (or 254893 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10103213300 its reverse (331230101), we get a palindrome (10434443401).

The spelling of 10103213300 in words is "ten billion, one hundred three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 19850 39700 254489 508978 1017956 1272445 2544890 5089780 6362225 12724450 25448900 101032133 202064266 404128532 505160665 1010321330 2020642660 2525803325 5051606650 10103213300