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13221930840 = 23351575471283
BaseRepresentation
bin11000101000001011…
…01010011101011000
31021010110101200100020
430110011222131120
5204034303241330
610023555510440
7645436362216
oct142405523530
937113350306
1013221930840
115675487378
12268bbb8420
131329367221
148d6019cb6
15525b8e210
hex31416a758

13221930840 has 128 divisors (see below), whose sum is σ = 40022588160. Its totient is φ = 3494260224.

The previous prime is 13221930833. The next prime is 13221930847. The reversal of 13221930840 is 4803912231.

It is an interprime number because it is at equal distance from previous prime (13221930833) and next prime (13221930847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221930847) 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, 10304839 + ... + 10306121.

It is an arithmetic number, because the mean of its divisors is an integer number (312676470).

Almost surely, 213221930840 is an apocalyptic number.

13221930840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221930840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011294080).

13221930840 is an abundant number, since it is smaller than the sum of its proper divisors (26800657320).

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

13221930840 is a wasteful number, since it uses less digits than its factorization.

13221930840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13221930840 in words is "thirteen billion, two hundred twenty-one million, nine hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 547 628 785 942 1094 1256 1283 1570 1641 1884 2188 2355 2566 2735 3140 3282 3768 3849 4376 4710 5132 5470 6280 6415 6564 7698 8205 9420 10264 10940 12830 13128 15396 16410 18840 19245 21880 25660 30792 32820 38490 51320 65640 76980 85879 153960 171758 201431 257637 343516 402862 429395 515274 604293 687032 701801 805724 858790 1007155 1030548 1208586 1288185 1403602 1611448 1717580 2014310 2061096 2105403 2417172 2576370 2807204 3021465 3435160 3509005 4028620 4210806 4834344 5152740 5614408 6042930 7018010 8057240 8421612 10305480 10527015 12085860 14036020 16843224 21054030 24171720 28072040 42108060 84216120 110182757 220365514 330548271 440731028 550913785 661096542 881462056 1101827570 1322193084 1652741355 2203655140 2644386168 3305482710 4407310280 6610965420 13221930840