Search a number
-
+
221320133131120 = 2453722020819331
BaseRepresentation
bin110010010100101000011011…
…111010101011101101110000
31002000121222221121111001021021
4302110220123322223231300
5213002102113040143440
62102413022054105224
764421565134656312
oct6224503372535560
91060558847431237
10221320133131120
1164579383391a11
12209a53a894b214
1396655257b868a
143c91d472897b2
151a8c0a061284a
hexc94a1beabb70

221320133131120 has 60 divisors (see below), whose sum is σ = 528852460823064. Its totient is φ = 86135403121920.

The previous prime is 221320133131109. The next prime is 221320133131159. The reversal of 221320133131120 is 21131331023122.

It is a super-2 number, since 2×2213201331311202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1010300146 + ... + 1010519185.

Almost surely, 2221320133131120 is an apocalyptic number.

221320133131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221320133131120 is an abundant number, since it is smaller than the sum of its proper divisors (307532327691944).

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

221320133131120 is a wasteful number, since it uses less digits than its factorization.

221320133131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020819418 (or 2020819375 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 221320133131120 its reverse (21131331023122), we get a palindrome (242451464154242).

The spelling of 221320133131120 in words is "two hundred twenty-one trillion, three hundred twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1369 1480 2738 2960 5476 6845 10952 13690 21904 27380 54760 109520 2020819331 4041638662 8083277324 10104096655 16166554648 20208193310 32333109296 40416386620 74770315247 80832773240 149540630494 161665546480 299081260988 373851576235 598162521976 747703152470 1196325043952 1495406304940 2766501664139 2990812609880 5533003328278 5981625219760 11066006656556 13832508320695 22132013313112 27665016641390 44264026626224 55330033282780 110660066565560 221320133131120