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103233311220 = 223513457289607
BaseRepresentation
bin110000000100100101…
…1110101000111110100
3100212110111200120102010
41200021023311013310
53142410211424340
6115231424044220
710313134444554
oct1401113650764
9325414616363
10103233311220
113a865570736
1218010763670
139972642450
144dd463b164
152a43017b80
hex18092f51f4

103233311220 has 96 divisors (see below), whose sum is σ = 311970371328. Its totient is φ = 25355584512.

The previous prime is 103233311219. The next prime is 103233311221. The reversal of 103233311220 is 22113332301.

It is an interprime number because it is at equal distance from previous prime (103233311219) and next prime (103233311221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233311221) 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, 211657 + ... + 501263.

It is an arithmetic number, because the mean of its divisors is an integer number (3249691368).

Almost surely, 2103233311220 is an apocalyptic number.

103233311220 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 103233311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155985185664).

103233311220 is an abundant number, since it is smaller than the sum of its proper divisors (208737060108).

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

103233311220 is a wasteful number, since it uses less digits than its factorization.

103233311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290089 (or 290087 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103233311220 its reverse (22113332301), we get a palindrome (125346643521).

The spelling of 103233311220 in words is "one hundred three billion, two hundred thirty-three million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 457 780 914 1371 1828 2285 2742 4570 5484 5941 6855 9140 11882 13710 17823 23764 27420 29705 35646 59410 71292 89115 118820 178230 289607 356460 579214 868821 1158428 1448035 1737642 2896070 3475284 3764891 4344105 5792140 7529782 8688210 11294673 15059564 17376420 18824455 22589346 37648910 45178692 56473365 75297820 112946730 132350399 225893460 264700798 397051197 529401596 661751995 794102394 1323503990 1588204788 1720555187 1985255985 2647007980 3441110374 3970511970 5161665561 6882220748 7941023940 8602775935 10323331122 17205551870 20646662244 25808327805 34411103740 51616655610 103233311220