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103313021329 = 7433037113017
BaseRepresentation
bin110000000110111101…
…1111001100110010001
3100212200001200021010101
41200031323321212101
53143041113140304
6115243352332401
710315123122550
oct1401573714621
9325601607111
10103313021329
113a8a6564061
12180333a4101
1399860008ab
145001069d97
152a4a0108a4
hex180def9991

103313021329 has 16 divisors (see below), whose sum is σ = 120858736768. Its totient is φ = 86465377152.

The previous prime is 103313021327. The next prime is 103313021347. The reversal of 103313021329 is 923120313301.

It is not a de Polignac number, because 103313021329 - 21 = 103313021327 is a prime.

It is a super-2 number, since 2×1033130213292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313021297 and 103313021306.

It is not an unprimeable number, because it can be changed into a prime (103313021327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857629 + ... + 970645.

It is an arithmetic number, because the mean of its divisors is an integer number (7553671048).

Almost surely, 2103313021329 is an apocalyptic number.

It is an amenable number.

103313021329 is a deficient number, since it is larger than the sum of its proper divisors (17545715439).

103313021329 is a wasteful number, since it uses less digits than its factorization.

103313021329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116104.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 103313021329 in words is "one hundred three billion, three hundred thirteen million, twenty-one thousand, three hundred twenty-nine".

Divisors: 1 7 43 301 3037 21259 113017 130591 791119 914137 4859731 34018117 343232629 2402628403 14759003047 103313021329