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12320111310 = 23513173794903
BaseRepresentation
bin10110111100101010…
…11111101011001110
31011210121110111111220
423132111133223032
5200212422030220
65354302424210
7614206134603
oct133625375316
934717414456
1012320111310
115252421a81
122479b92066
1312145845c0
1484c3486aa
154c1903540
hex2de55face

12320111310 has 128 divisors (see below), whose sum is σ = 33811706880. Its totient is φ = 2846140416.

The previous prime is 12320111303. The next prime is 12320111311. The reversal of 12320111310 is 1311102321.

It is a happy number.

It is a super-2 number, since 2×123201113102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12320111310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320111311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2510319 + ... + 2515221.

It is an arithmetic number, because the mean of its divisors is an integer number (264153960).

Almost surely, 212320111310 is an apocalyptic number.

12320111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905853440).

12320111310 is an abundant number, since it is smaller than the sum of its proper divisors (21491595570).

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

12320111310 is a wasteful number, since it uses less digits than its factorization.

12320111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12320111310 its reverse (1311102321), we get a palindrome (13631213631).

It can be divided in two parts, 1232011 and 1310, that added together give a palindrome (1233321).

The spelling of 12320111310 in words is "twelve billion, three hundred twenty million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 379 390 442 510 663 758 1105 1137 1326 1895 2210 2274 3315 3790 4903 4927 5685 6443 6630 9806 9854 11370 12886 14709 14781 19329 24515 24635 29418 29562 32215 38658 49030 49270 63739 64430 73545 73905 83351 83759 96645 127478 147090 147810 166702 167518 191217 193290 250053 251277 318695 382434 416755 418795 500106 502554 637390 833510 837590 956085 1083563 1250265 1256385 1858237 1912170 2167126 2500530 2512770 3250689 3716474 5417815 5574711 6501378 9291185 10835630 11149422 16253445 18582370 24157081 27873555 31590029 32506890 48314162 55747110 63180058 72471243 94770087 120785405 144942486 157950145 189540174 241570810 315900290 362356215 410670377 473850435 724712430 821340754 947700870 1232011131 2053351885 2464022262 4106703770 6160055655 12320111310