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13321310220 = 2234579104089
BaseRepresentation
bin11000110100000001…
…10001000000001100
31021101101101200020000
430122000301000030
5204240223411340
610041505524300
7651054161061
oct143200610014
937341350200
1013321310220
115716594599
1226b9343690
131343b213aa
149052c8c68
1552e76ed30
hex31a03100c

13321310220 has 120 divisors (see below), whose sum is σ = 42318830400. Its totient is φ = 3507349248.

The previous prime is 13321310203. The next prime is 13321310237. The reversal of 13321310220 is 2201312331.

13321310220 is a `hidden beast` number, since 1 + 332 + 1 + 310 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13321310203) and next prime (13321310237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13321310193 and 13321310202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75936 + ... + 180024.

It is an arithmetic number, because the mean of its divisors is an integer number (352656920).

Almost surely, 213321310220 is an apocalyptic number.

13321310220 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 13321310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159415200).

13321310220 is an abundant number, since it is smaller than the sum of its proper divisors (28997520180).

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

13321310220 is a wasteful number, since it uses less digits than its factorization.

13321310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104189 (or 104178 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321310220 its reverse (2201312331), we get a palindrome (15522622551).

The spelling of 13321310220 in words is "thirteen billion, three hundred twenty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 810 948 1185 1422 1580 1620 2133 2370 2844 3555 4266 4740 6399 7110 8532 10665 12798 14220 21330 25596 31995 42660 63990 104089 127980 208178 312267 416356 520445 624534 936801 1040890 1249068 1561335 1873602 2081780 2810403 3122670 3747204 4684005 5620806 6245340 8223031 8431209 9368010 11241612 14052015 16446062 16862418 18736020 24669093 28104030 32892124 33724836 41115155 42156045 49338186 56208060 74007279 82230310 84312090 98676372 123345465 148014558 164460620 168624180 222021837 246690930 296029116 370036395 444043674 493381860 666065511 740072790 888087348 1110109185 1332131022 1480145580 2220218370 2664262044 3330327555 4440436740 6660655110 13321310220