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122303000313 = 32131153906613
BaseRepresentation
bin111000111100111010…
…0111010111011111001
3102200200111200011000100
41301321310322323321
54000434032002223
6132104001430013
711556532231014
oct1617164727371
9380614604010
10122303000313
114796094536a
121b85303b309
13b6c1370050
145cc315637b
1532ac26b043
hex1c79d3aef9

122303000313 has 24 divisors (see below), whose sum is σ = 190414325192. Its totient is φ = 75198025728.

The previous prime is 122303000311. The next prime is 122303000317. The reversal of 122303000313 is 313000303221.

122303000313 is a `hidden beast` number, since 1 + 22 + 30 + 300 + 0 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20536896249 + 101766104064 = 143307^2 + 319008^2 .

It is not a de Polignac number, because 122303000313 - 21 = 122303000311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122303000311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318406 + ... + 588207.

Almost surely, 2122303000313 is an apocalyptic number.

122303000313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122303000313 is a deficient number, since it is larger than the sum of its proper divisors (68111324879).

122303000313 is a wasteful number, since it uses less digits than its factorization.

122303000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907785 (or 907782 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 122303000313 its reverse (313000303221), we get a palindrome (435303303534).

The spelling of 122303000313 in words is "one hundred twenty-two billion, three hundred three million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 1153 3459 10377 14989 44967 134901 906613 2719839 8159517 11785969 35357907 106073721 1045324789 3135974367 9407923101 13589222257 40767666771 122303000313