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20132201320 = 2357117199091
BaseRepresentation
bin10010101111111110…
…010000001101101000
31220222001021210100221
4102233332100031220
5312212320420240
613125410535424
71311615613330
oct225776201550
956861253327
1020132201320
1185a1114910
123a9a297574
131b8abb437a
14d8da9a0c0
157cc681a4a
hex4aff90368

20132201320 has 128 divisors (see below), whose sum is σ = 56559513600. Its totient is φ = 6265555200.

The previous prime is 20132201281. The next prime is 20132201333. The reversal of 20132201320 is 2310223102.

It is a junction number, because it is equal to n+sod(n) for n = 20132201294 and 20132201303.

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, 2209975 + ... + 2219065.

It is an arithmetic number, because the mean of its divisors is an integer number (441871200).

Almost surely, 220132201320 is an apocalyptic number.

20132201320 is a gapful number since it is divisible by the number (20) 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 20132201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28279756800).

20132201320 is an abundant number, since it is smaller than the sum of its proper divisors (36427312280).

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

20132201320 is a wasteful number, since it uses less digits than its factorization.

20132201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9839 (or 9835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20132201320 its reverse (2310223102), we get a palindrome (22442424422).

The spelling of 20132201320 in words is "twenty billion, one hundred thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 719 770 1438 1540 2876 3080 3595 5033 5752 7190 7909 9091 10066 14380 15818 18182 20132 25165 28760 31636 36364 39545 40264 45455 50330 55363 63272 63637 72728 79090 90910 100001 100660 110726 127274 158180 181820 200002 201320 221452 254548 276815 316360 318185 363640 400004 442904 500005 509096 553630 636370 700007 800008 1000010 1107260 1272740 1400014 2000020 2214520 2545480 2800028 3500035 4000040 5600056 6536429 7000070 13072858 14000140 26145716 28000280 32682145 45755003 52291432 65364290 71900719 91510006 130728580 143801438 183020012 228775015 261457160 287602876 359503595 366040024 457550030 503305033 575205752 719007190 915100060 1006610066 1438014380 1830200120 2013220132 2516525165 2876028760 4026440264 5033050330 10066100660 20132201320