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103313343321 = 3319337935227
BaseRepresentation
bin110000000110111110…
…1001000001101011001
3100212200002021121211000
41200031331020031121
53143041203441241
6115243403255213
710315125633366
oct1401575101531
9325602247730
10103313343321
113a8a6763a71
121803351a509
1399860b4316
14500111146d
152a4a075eb6
hex180df48359

103313343321 has 32 divisors (see below), whose sum is σ = 153919848320. Its totient is φ = 68487524352.

The previous prime is 103313343319. The next prime is 103313343401. The reversal of 103313343321 is 123343313301.

103313343321 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 334 + 3 + 321 = 666.

It is not a de Polignac number, because 103313343321 - 21 = 103313343319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103313383321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19762710 + ... + 19767936.

It is an arithmetic number, because the mean of its divisors is an integer number (4809995260).

Almost surely, 2103313343321 is an apocalyptic number.

It is an amenable number.

103313343321 is a deficient number, since it is larger than the sum of its proper divisors (50606504999).

103313343321 is a wasteful number, since it uses less digits than its factorization.

103313343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103313343321 its reverse (123343313301), we get a palindrome (226656656622).

The spelling of 103313343321 in words is "one hundred three billion, three hundred thirteen million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 27 193 579 1737 3793 5211 5227 11379 15681 34137 47043 102411 141129 732049 1008811 2196147 3026433 6588441 9079299 19765323 19826011 27237897 59478033 178434099 535302297 3826420123 11479260369 34437781107 103313343321