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13311230001320 = 2352923574868561
BaseRepresentation
bin1100000110110100001100…
…1000101100000010101000
31202010112121111122201202102
43001231003020230002220
53221042344340020240
644151032235352532
72542463455066466
oct301550310540250
952115544581672
1013311230001320
114272296349219
1215ab97bbb2748
13757322271404
143403a47c9836
151813c7bb8815
hexc1b4322c0a8

13311230001320 has 64 divisors (see below), whose sum is σ = 30996186829200. Its totient is φ = 5138706657280.

The previous prime is 13311230001317. The next prime is 13311230001359. The reversal of 13311230001320 is 2310003211331.

It can be written as a sum of positive squares in 8 ways, for example, as 7779335409316 + 5531894592004 = 2789146^2 + 2351998^2 .

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 = 13311230001292 and 13311230001301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299840 + ... + 5168400.

Almost surely, 213311230001320 is an apocalyptic number.

13311230001320 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 13311230001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498093414600).

13311230001320 is an abundant number, since it is smaller than the sum of its proper divisors (17684956827880).

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

13311230001320 is a wasteful number, since it uses less digits than its factorization.

13311230001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870958 (or 4870954 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311230001320 its reverse (2310003211331), we get a palindrome (15621233212651).

The spelling of 13311230001320 in words is "thirteen trillion, three hundred eleven billion, two hundred thirty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2357 4714 9428 11785 18856 23570 47140 68353 94280 136706 273412 341765 546824 683530 1367060 2734120 4868561 9737122 19474244 24342805 38948488 48685610 97371220 141188269 194742440 282376538 564753076 705941345 1129506152 1411882690 2823765380 5647530760 11475198277 22950396554 45900793108 57375991385 91801586216 114751982770 229503965540 332780750033 459007931080 665561500066 1331123000132 1663903750165 2662246000264 3327807500330 6655615000660 13311230001320