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103013395849 = 7213235272
BaseRepresentation
bin101111111110000010…
…0111010110110001001
3100211220011212201020101
41133330010322312021
53141432412131344
6115153530325401
710304524263100
oct1377404726611
9324804781211
10103013395849
113a762415aa1
1217b6ab89861
139938c04400
144db3353037
152a2da779d4
hex17fc13ad89

103013395849 has 27 divisors (see below), whose sum is σ = 129795613767. Its totient is φ = 81481995504.

The previous prime is 103013395847. The next prime is 103013395879. The reversal of 103013395849 is 948593310301.

The square root of 103013395849 is 320957.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15238668025 + 87774727824 = 123445^2 + 296268^2 .

It is not a de Polignac number, because 103013395849 - 21 = 103013395847 is a prime.

It is a super-2 number, since 2×1030133958492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103013395799 and 103013395808.

It is not an unprimeable number, because it can be changed into a prime (103013395843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29205324 + ... + 29208850.

Almost surely, 2103013395849 is an apocalyptic number.

103013395849 is the 320957-th square number.

103013395849 is the 160479-th centered octagonal number.

It is an amenable number.

103013395849 is a deficient number, since it is larger than the sum of its proper divisors (26782217918).

103013395849 is an frugal number, since it uses more digits than its factorization.

103013395849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 103013395849 in words is "one hundred three billion, thirteen million, three hundred ninety-five thousand, eight hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 3527 8281 24689 45851 172823 320957 596063 2246699 4172441 12439729 29207087 87078103 161716477 609546721 1132015339 2102314201 7924107373 14716199407 103013395849