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103330668948 = 223131758766377
BaseRepresentation
bin110000000111011111…
…1001110000110010100
3100212201021212212002220
41200032333032012110
53143110122401243
6115245222502340
710315426123413
oct1401677160624
9325637785086
10103330668948
113a905517a71
12180392949b0
13998986c380
14500354147a
152a4b849783
hex180efce194

103330668948 has 96 divisors (see below), whose sum is σ = 275397542784. Its totient is φ = 29872386048.

The previous prime is 103330668853. The next prime is 103330668949. The reversal of 103330668948 is 849866033301.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 103330668948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103330668949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523536 + ... + 1589912.

It is an arithmetic number, because the mean of its divisors is an integer number (2868724404).

Almost surely, 2103330668948 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 103330668948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137698771392).

103330668948 is an abundant number, since it is smaller than the sum of its proper divisors (172066873836).

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

103330668948 is a wasteful number, since it uses less digits than its factorization.

103330668948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67001 (or 66999 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 103330668948 in words is "one hundred three billion, three hundred thirty million, six hundred sixty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 587 663 884 1174 1326 1761 2348 2652 3522 7044 7631 9979 15262 19958 22893 29937 30524 39916 45786 59874 66377 91572 119748 129727 132754 199131 259454 265508 389181 398262 518908 778362 796524 862901 1128409 1556724 1725802 2256818 2588703 3385227 3451604 4513636 5177406 6770454 10354812 13540908 14669317 29338634 38963299 44007951 58677268 77926598 88015902 116889897 155853196 176031804 233779794 467559588 506522887 662376083 1013045774 1324752166 1519568661 1987128249 2026091548 2649504332 3039137322 3974256498 6078274644 7948512996 8610889079 17221778158 25832667237 34443556316 51665334474 103330668948