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13120013313220 = 22511292578001667
BaseRepresentation
bin1011111011101011110110…
…1110111010010011000100
31201110021001021201112002011
42332322331232322103010
53204424241402010340
643523130110224004
72522614106053012
oct276727556722304
951407037645064
1013120013313220
1141a9191528280
12157a8b5ab5004
1374229a854418
143350250358b2
1517b4358bc0ea
hexbeebdbba4c4

13120013313220 has 96 divisors (see below), whose sum is σ = 31214186801280. Its totient is φ = 4588475351040.

The previous prime is 13120013313161. The next prime is 13120013313263. The reversal of 13120013313220 is 2231331002131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13120013313191 and 13120013313200.

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, 2361174 + ... + 5640493.

It is an arithmetic number, because the mean of its divisors is an integer number (325147779180).

Almost surely, 213120013313220 is an apocalyptic number.

13120013313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120013313220 is an abundant number, since it is smaller than the sum of its proper divisors (18094173488060).

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

13120013313220 is a wasteful number, since it uses less digits than its factorization.

13120013313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001973 (or 8001971 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13120013313220 its reverse (2231331002131), we get a palindrome (15351344315351).

The spelling of 13120013313220 in words is "thirteen trillion, one hundred twenty billion, thirteen million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 257 290 319 514 580 638 1028 1276 1285 1595 2570 2827 3190 5140 5654 6380 7453 11308 14135 14906 28270 29812 37265 56540 74530 81983 149060 163966 327932 409915 819830 1639660 8001667 16003334 32006668 40008335 80016670 88018337 160033340 176036674 232048343 352073348 440091685 464096686 880183370 928193372 1160241715 1760366740 2056428419 2320483430 2552531773 4112856838 4640966860 5105063546 8225713676 10210127092 10282142095 12762658865 20564284190 22620712609 25525317730 41128568380 45241425218 51050635460 59636424151 90482850436 113103563045 119272848302 226207126090 238545696604 298182120755 452414252180 596364241510 656000665661 1192728483020 1312001331322 2624002662644 3280003328305 6560006656610 13120013313220