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1010000313 = 33729184273
BaseRepresentation
bin111100001100110…
…110000110111001
32121101111022222000
4330030312012321
54032030002223
6244115451213
734012601220
oct7414660671
92541438860
101010000313
11479134203
122422b6b09
1313132bc2a
14981d1cb7
155da09543
hex3c3361b9

1010000313 has 32 divisors (see below), whose sum is σ = 1769030400. Its totient is φ = 557238528.

The previous prime is 1010000287. The next prime is 1010000317. The reversal of 1010000313 is 3130000101.

It is not a de Polignac number, because 1010000313 - 216 = 1009934777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1010000295 and 1010000304.

It is not an unprimeable number, because it can be changed into a prime (1010000317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86656 + ... + 97617.

It is an arithmetic number, because the mean of its divisors is an integer number (55282200).

Almost surely, 21010000313 is an apocalyptic number.

It is an amenable number.

1010000313 is a deficient number, since it is larger than the sum of its proper divisors (759030087).

1010000313 is a wasteful number, since it uses less digits than its factorization.

1010000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184318 (or 184312 counting only the distinct ones).

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

The square root of 1010000313 is about 31780.5020885448. The cubic root of 1010000313 is about 1003.3223871856.

Adding to 1010000313 its reverse (3130000101), we get a palindrome (4140000414).

The spelling of 1010000313 in words is "one billion, ten million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1827 5481 184273 552819 1289911 1658457 3869733 4975371 5343917 11609199 16031751 34827597 37407419 48095253 112222257 144285759 336666771 1010000313