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103313130309 = 3242012732501
BaseRepresentation
bin110000000110111110…
…0010100001101000101
3100212200001212210121200
41200031330110031011
53143041130132214
6115243354533113
710315124055354
oct1401574241505
9325601783550
10103313130309
113a8a6628a24
1218033437199
13998603b38c
14500109799b
152a4a032d09
hex180df14345

103313130309 has 12 divisors (see below), whose sum is σ = 149265654252. Its totient is φ = 68859000000.

The previous prime is 103313130307. The next prime is 103313130311. The reversal of 103313130309 is 903031313301.

It is a happy number.

103313130309 is a `hidden beast` number, since 10 + 3 + 31 + 313 + 0 + 309 = 666.

It is an interprime number because it is at equal distance from previous prime (103313130307) and next prime (103313130311).

It can be written as a sum of positive squares in 2 ways, for example, as 32479969284 + 70833161025 = 180222^2 + 266145^2 .

It is not a de Polignac number, because 103313130309 - 21 = 103313130307 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313130301) 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, 1328442 + ... + 1404059.

It is an arithmetic number, because the mean of its divisors is an integer number (12438804521).

Almost surely, 2103313130309 is an apocalyptic number.

It is an amenable number.

103313130309 is a deficient number, since it is larger than the sum of its proper divisors (45952523943).

103313130309 is a wasteful number, since it uses less digits than its factorization.

103313130309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736708 (or 2736705 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The spelling of 103313130309 in words is "one hundred three billion, three hundred thirteen million, one hundred thirty thousand, three hundred nine".

Divisors: 1 3 9 4201 12603 37809 2732501 8197503 24592509 11479236701 34437710103 103313130309