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1310100213320 = 23523105111171213
BaseRepresentation
bin10011000100001000000…
…011101100111001001000
311122020121010200110011222
4103010020003230321020
5132431041123311240
62441503550141212
7163436335034423
oct23041003547110
94566533613158
101310100213320
11465679463a28
12191aa5ab1808
13967077a1522
14475a2b569ba
152412a9caeb5
hex131080ece48

1310100213320 has 128 divisors (see below), whose sum is σ = 3084110864640. Its totient is φ = 499918003200.

The previous prime is 1310100213313. The next prime is 1310100213329. The reversal of 1310100213320 is 233120010131.

It is a super-2 number, since 2×13101002133202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310100213329) 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, 1080049034 + ... + 1080050246.

It is an arithmetic number, because the mean of its divisors is an integer number (24094616130).

Almost surely, 21310100213320 is an apocalyptic number.

1310100213320 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 1310100213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542055432320).

1310100213320 is an abundant number, since it is smaller than the sum of its proper divisors (1774010651320).

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

1310100213320 is a wasteful number, since it uses less digits than its factorization.

1310100213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1310100213320 its reverse (233120010131), we get a palindrome (1543220223451).

The spelling of 1310100213320 in words is "one trillion, three hundred ten billion, one hundred million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1051 1117 1213 2102 2234 2426 4204 4468 4852 5255 5585 6065 8408 8936 9704 10510 11170 12130 21020 22340 24173 24260 25691 27899 42040 44680 48346 48520 51382 55798 96692 102764 111596 120865 128455 139495 193384 205528 223192 241730 256910 278990 483460 513820 557980 966920 1027640 1115960 1173967 1274863 1354921 2347934 2549726 2709842 4695868 5099452 5419684 5869835 6374315 6774605 9391736 10198904 10839368 11739670 12748630 13549210 23479340 25497260 27001241 27098420 29321849 31163183 46958680 50994520 54002482 54196840 58643698 62326366 108004964 117287396 124652732 135006205 146609245 155815915 216009928 234574792 249305464 270012410 293218490 311631830 540024820 586436980 623263660 1080049640 1172873960 1246527320 1424021971 2848043942 5696087884 7120109855 11392175768 14240219710 28480439420 32752505333 56960878840 65505010666 131010021332 163762526665 262020042664 327525053330 655050106660 1310100213320