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13022101113320 = 23513128549194809
BaseRepresentation
bin1011110101111111000110…
…1101100000100111101000
31201002220022121122102011002
42331133301231200213220
53201323230341111240
643410134244054132
72512546543100165
oct275376155404750
951086277572132
1013022101113320
114170707658302
12156392b394348
13735c95750870
143303b73a706c
15178b04ad9d15
hexbd7f1b609e8

13022101113320 has 64 divisors (see below), whose sum is σ = 31553960130000. Its totient is φ = 4808098326528.

The previous prime is 13022101113317. The next prime is 13022101113323. The reversal of 13022101113320 is 2331110122031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13022101113317) and next prime (13022101113323).

It can be written as a sum of positive squares in 8 ways, for example, as 165243876004 + 12856857237316 = 406502^2 + 3585646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13022101113292 and 13022101113301.

It is not an unprimeable number, because it can be changed into a prime (13022101113323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66748076 + ... + 66942884.

Almost surely, 213022101113320 is an apocalyptic number.

13022101113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022101113320 is an abundant number, since it is smaller than the sum of its proper divisors (18531859016680).

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

13022101113320 is a wasteful number, since it uses less digits than its factorization.

13022101113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323382 (or 323378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13022101113320 its reverse (2331110122031), we get a palindrome (15353211235351).

The spelling of 13022101113320 in words is "thirteen trillion, twenty-two billion, one hundred one million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 128549 194809 257098 389618 514196 642745 779236 974045 1028392 1285490 1558472 1671137 1948090 2532517 2570980 3342274 3896180 5065034 5141960 6684548 7792360 8355685 10130068 12662585 13369096 16711370 20260136 25325170 33422740 50650340 66845480 101300680 25042502141 50085004282 100170008564 125212510705 200340017128 250425021410 325552527833 500850042820 651105055666 1001700085640 1302210111332 1627762639165 2604420222664 3255525278330 6511050556660 13022101113320