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110000313 = 3212222257
BaseRepresentation
bin1101000111001…
…11100010111001
321122222121001200
412203213202321
5211130002223
614525404413
72503662423
oct643474271
9248877050
10110000313
1157101955
1230a09709
1319a35557
1410875813
1599cca43
hex68e78b9

110000313 has 6 divisors (see below), whose sum is σ = 158889354. Its totient is φ = 73333536.

The previous prime is 110000309. The next prime is 110000327. The reversal of 110000313 is 313000011.

It can be written as a sum of positive squares in only one way, i.e., 97061904 + 12938409 = 9852^2 + 3597^2 .

It is not a de Polignac number, because 110000313 - 22 = 110000309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12222257 = 110000313 / (1 + 1 + 0 + 0 + 0 + 0 + 3 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 110000295 and 110000304.

It is not an unprimeable number, because it can be changed into a prime (110001313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6111120 + ... + 6111137.

It is an arithmetic number, because the mean of its divisors is an integer number (26481559).

Almost surely, 2110000313 is an apocalyptic number.

It is an amenable number.

110000313 is a deficient number, since it is larger than the sum of its proper divisors (48889041).

110000313 is a wasteful number, since it uses less digits than its factorization.

110000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222263 (or 12222260 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 110000313 is about 10488.1034033804. The cubic root of 110000313 is about 479.1424401648.

Adding to 110000313 its reverse (313000011), we get a palindrome (423000324).

The spelling of 110000313 in words is "one hundred ten million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 12222257 36666771 110000313