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13114224442220 = 22511307757256499
BaseRepresentation
bin1011111011010110010010…
…1100000111101101101100
31201102201002211221101221112
42332311210230013231230
53204330412424122340
643520331434451152
72522320464343046
oct276654454075554
951381084841845
1013114224442220
1141a67908a0870
12157975b293ab8
1374188743b375
14334a362a4a96
1517b1e758b065
hexbed64b07b6c

13114224442220 has 96 divisors (see below), whose sum is σ = 30181292064000. Its totient is φ = 4746977706240.

The previous prime is 13114224442211. The next prime is 13114224442229. The reversal of 13114224442220 is 2224442241131.

It is an interprime number because it is at equal distance from previous prime (13114224442211) and next prime (13114224442229).

It is not an unprimeable number, because it can be changed into a prime (13114224442229) 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, 50999531 + ... + 51256029.

It is an arithmetic number, because the mean of its divisors is an integer number (314388459000).

Almost surely, 213114224442220 is an apocalyptic number.

13114224442220 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 13114224442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15090646032000).

13114224442220 is an abundant number, since it is smaller than the sum of its proper divisors (17067067621780).

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

13114224442220 is a wasteful number, since it uses less digits than its factorization.

13114224442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257583 (or 257581 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 13114224442220 its reverse (2224442241131), we get a palindrome (15338666683351).

Subtracting from 13114224442220 its reverse (2224442241131), we obtain a square (10889782201089 = 32999672).

The spelling of 13114224442220 in words is "thirteen trillion, one hundred fourteen billion, two hundred twenty-four million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 757 1228 1514 1535 3028 3070 3377 3785 6140 6754 7570 8327 13508 15140 16654 16885 33308 33770 41635 67540 83270 166540 232399 256499 464798 512998 929596 1025996 1161995 1282495 2323990 2556389 2564990 2821489 4647980 5112778 5129980 5642978 10225556 11285956 12781945 14107445 25563890 28214890 51127780 56429780 78745193 157490386 194169743 314980772 388339486 393725965 776678972 787451930 866197123 970848715 1574903860 1732394246 1941697430 2135867173 3464788492 3883394860 4271734346 4330985615 8543468692 8661971230 10679335865 17323942460 21358671730 42717343460 59610111101 119220222202 238440444404 298050555505 596101111010 655711222111 1192202222020 1311422444222 2622844888444 3278556110555 6557112221110 13114224442220