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13220110020 = 22351339174327
BaseRepresentation
bin11000100111111101…
…01101111011000100
31021010022222011122110
430103332231323010
5204033322010040
610023452501020
7645415036545
oct142376557304
937108864573
1013220110020
115674453367
12268b47a770
131328b7a510
148d5aa44cc
1552592e980
hex313fadec4

13220110020 has 96 divisors (see below), whose sum is σ = 39883108608. Its totient is φ = 3252598272.

The previous prime is 13220110009. The next prime is 13220110031. The reversal of 13220110020 is 2001102231.

It is an interprime number because it is at equal distance from previous prime (13220110009) and next prime (13220110031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13220109978 and 13220110005.

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, 3053097 + ... + 3057423.

It is an arithmetic number, because the mean of its divisors is an integer number (415449048).

Almost surely, 213220110020 is an apocalyptic number.

13220110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220110020 is an abundant number, since it is smaller than the sum of its proper divisors (26662998588).

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

13220110020 is a wasteful number, since it uses less digits than its factorization.

13220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13220110020 its reverse (2001102231), we get a palindrome (15221212251).

The spelling of 13220110020 in words is "thirteen billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3917 4327 7834 8654 11751 12981 15668 17308 19585 21635 23502 25962 39170 43270 47004 50921 51924 56251 58755 64905 78340 86540 101842 112502 117510 129810 152763 168753 203684 225004 235020 254605 259620 281255 305526 337506 509210 562510 611052 675012 763815 843765 1018420 1125020 1527630 1687530 3055260 3375060 16948859 33897718 50846577 67795436 84744295 101693154 169488590 203386308 220335167 254232885 338977180 440670334 508465770 661005501 881340668 1016931540 1101675835 1322011002 2203351670 2644022004 3305027505 4406703340 6610055010 13220110020