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10103213313 = 327611475137
BaseRepresentation
bin10010110100011001…
…01100110100000001
3222002002222102011200
421122030230310001
5131142410311223
64350310531413
7505236616254
oct113214546401
928062872150
1010103213313
114315000776
121b5b666b69
13c501b773b
146bbb4d09b
153e1e99a43
hex25a32cd01

10103213313 has 12 divisors (see below), whose sum is σ = 14612717028. Its totient is φ = 6726620160.

The previous prime is 10103213269. The next prime is 10103213333. The reversal of 10103213313 is 31331230101.

It is a happy number.

10103213313 is a `hidden beast` number, since 1 + 0 + 10 + 321 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4346501184 + 5756712129 = 65928^2 + 75873^2 .

It is not a de Polignac number, because 10103213313 - 26 = 10103213249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10103213333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730720 + ... + 744417.

It is an arithmetic number, because the mean of its divisors is an integer number (1217726419).

Almost surely, 210103213313 is an apocalyptic number.

It is an amenable number.

10103213313 is a deficient number, since it is larger than the sum of its proper divisors (4509503715).

10103213313 is a wasteful number, since it uses less digits than its factorization.

10103213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475904 (or 1475901 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10103213313 its reverse (31331230101), we get a palindrome (41434443414).

The spelling of 10103213313 in words is "ten billion, one hundred three million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 761 2283 6849 1475137 4425411 13276233 1122579257 3367737771 10103213313