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103000232313 = 33113976831279
BaseRepresentation
bin101111111101101001…
…0101101000101111001
3100211212021002221021000
41133323102231011321
53141421024413223
6115152340235213
710304304346326
oct1377322550571
9324767087230
10103000232313
113a755a45040
1217b6669bb09
139936275934
144db16c7b4d
152a2c827543
hex17fb4ad179

103000232313 has 64 divisors (see below), whose sum is σ = 167259340800. Its totient is φ = 62127362880.

The previous prime is 103000232273. The next prime is 103000232341. The reversal of 103000232313 is 313232000301.

It is not a de Polignac number, because 103000232313 - 220 = 102999183737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103000232113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80531208 + ... + 80532486.

It is an arithmetic number, because the mean of its divisors is an integer number (2613427200).

Almost surely, 2103000232313 is an apocalyptic number.

It is an amenable number.

103000232313 is a deficient number, since it is larger than the sum of its proper divisors (64259108487).

103000232313 is a wasteful number, since it uses less digits than its factorization.

103000232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

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

Adding to 103000232313 its reverse (313232000301), we get a palindrome (416232232614).

The spelling of 103000232313 in words is "one hundred three billion, two hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 397 683 1191 1279 2049 3573 3837 4367 6147 7513 10719 11511 13101 14069 18441 22539 34533 39303 42207 67617 117909 126621 202851 271151 379863 507763 813453 873557 1523289 2440359 2620671 2982661 4569867 5585393 7321077 7862013 8947983 9609127 13709601 16756179 23586039 26843949 28827381 50268537 80531847 86482143 150805611 259446429 346802129 1040406387 3121219161 3814823419 9363657483 11444470257 34333410771 103000232313