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103311312324 = 2231123140924151
BaseRepresentation
bin110000000110111010…
…1011000010111000100
3100212122221110102210220
41200031311120113010
53143040143443244
6115243251544340
710315102444203
oct1401565302704
9325587412726
10103311312324
113a8a55a7060
12180328bb0b0
139985852a4c
145000b4323a
152a49cc4319
hex180dd585c4

103311312324 has 96 divisors (see below), whose sum is σ = 274614036480. Its totient is φ = 29922816000.

The previous prime is 103311312263. The next prime is 103311312341. The reversal of 103311312324 is 423213113301.

It is a junction number, because it is equal to n+sod(n) for n = 103311312294 and 103311312303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4265649 + ... + 4289799.

It is an arithmetic number, because the mean of its divisors is an integer number (2860562880).

Almost surely, 2103311312324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103311312324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137307018240).

103311312324 is an abundant number, since it is smaller than the sum of its proper divisors (171302724156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103311312324 is a wasteful number, since it uses less digits than its factorization.

103311312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25601 (or 25599 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103311312324 its reverse (423213113301), we get a palindrome (526524425625).

The spelling of 103311312324 in words is "one hundred three billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1409 1518 2818 3036 4227 5636 8454 15499 16908 24151 30998 32407 46497 48302 61996 64814 72453 92994 96604 97221 129628 144906 185988 194442 265661 289812 356477 388884 531322 555473 712954 796983 1062644 1069431 1110946 1425908 1593966 1666419 2138862 2221892 3187932 3332838 4277724 6110203 6665676 12220406 18330609 24440812 34028759 36661218 68057518 73322436 102086277 136115036 204172554 374316349 408345108 748632698 782661457 1122949047 1497265396 1565322914 2245898094 2347984371 3130645828 4491796188 4695968742 8609276027 9391937484 17218552054 25827828081 34437104108 51655656162 103311312324