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103023101313 = 33114757712791
BaseRepresentation
bin101111111110010100…
…1111100010110000001
3100211220212010210122000
41133330221330112001
53141442403220223
6115154514334213
710305002624646
oct1377451742601
9324825123560
10103023101313
113a767944940
1217b7228a369
13993ac21ba2
144db475bdcd
152a2e843543
hex17fca7c581

103023101313 has 64 divisors (see below), whose sum is σ = 170352599040. Its totient is φ = 60999091200.

The previous prime is 103023101299. The next prime is 103023101317. The reversal of 103023101313 is 313101320301.

It is a happy number.

103023101313 is a `hidden beast` number, since 10 + 30 + 2 + 310 + 1 + 313 = 666.

It is not a de Polignac number, because 103023101313 - 28 = 103023101057 is a prime.

It is a super-2 number, since 2×1030231013132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103023101317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8047948 + ... + 8060738.

It is an arithmetic number, because the mean of its divisors is an integer number (2661759360).

Almost surely, 2103023101313 is an apocalyptic number.

It is an amenable number.

103023101313 is a deficient number, since it is larger than the sum of its proper divisors (67329497727).

103023101313 is a wasteful number, since it uses less digits than its factorization.

103023101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435 (or 13429 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103023101313 its reverse (313101320301), we get a palindrome (416124421614).

The spelling of 103023101313 in words is "one hundred three billion, twenty-three million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 577 1269 1551 1731 4653 5193 6347 12791 13959 15579 19041 27119 38373 57123 81357 115119 140701 171369 244071 298309 345357 422103 601177 732213 894927 1266309 1803531 2684781 3798927 5410593 6612947 7380407 8054343 16231779 19838841 22141221 59516523 66423663 81184477 178549569 199270989 243553431 346879129 730660293 1040637387 2191980879 3121912161 3815670419 9365736483 11447011257 34341033771 103023101313