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103313112301320 = 233547123714808349
BaseRepresentation
bin10111011111011001110101…
…010110111111111100001000
3111112210122012102121202101120
4113133121311112333330020
5102020140223222120240
61003421215533315240
730522061143064515
oct2737316526777410
9445718172552346
10103313112301320
112aa11932588209
12b706934335b20
13458550020610c
141b7254a48a30c
15be2627908ad0
hex5df6755bff08

103313112301320 has 128 divisors (see below), whose sum is σ = 316789700544000. Its totient is φ = 26942189884416.

The previous prime is 103313112301237. The next prime is 103313112301363. The reversal of 103313112301320 is 23103211313301.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 427495 + ... + 14380854.

It is an arithmetic number, because the mean of its divisors is an integer number (2474919535500).

Almost surely, 2103313112301320 is an apocalyptic number.

103313112301320 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 103313112301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158394850272000).

103313112301320 is an abundant number, since it is smaller than the sum of its proper divisors (213476588242680).

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

103313112301320 is a wasteful number, since it uses less digits than its factorization.

103313112301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14809647 (or 14809643 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103313112301320 its reverse (23103211313301), we get a palindrome (126416323614621).

The spelling of 103313112301320 in words is "one hundred three trillion, three hundred thirteen billion, one hundred twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1237 1410 1880 2474 2820 3711 4948 5640 6185 7422 9896 12370 14844 18555 24740 29688 37110 49480 58139 74220 116278 148440 174417 232556 290695 348834 465112 581390 697668 872085 1162780 1395336 1744170 2325560 3488340 6976680 14808349 29616698 44425047 59233396 74041745 88850094 118466792 148083490 177700188 222125235 296166980 355400376 444250470 592333960 695992403 888500940 1391984806 1777001880 2087977209 2783969612 3479962015 4175954418 5567939224 6959924030 8351908836 10439886045 13919848060 16703817672 18317927713 20879772090 27839696120 36635855426 41759544180 54953783139 73271710852 83519088360 91589638565 109907566278 146543421704 183179277130 219815132556 274768915695 366358554260 439630265112 549537831390 732717108520 860942602511 1099075662780 1721885205022 2198151325560 2582827807533 3443770410044 4304713012555 5165655615066 6887540820088 8609426025110 10331311230132 12914139037665 17218852050220 20662622460264 25828278075330 34437704100440 51656556150660 103313112301320