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21313200311304 = 233111371087542119
BaseRepresentation
bin1001101100010010111011…
…01110111100110000001000
32210110112002120112020210120
410312021131232330300020
510243143413234430204
6113155052110143240
74326553654343016
oct466113556746010
983415076466716
1021313200311304
116877971a3a510
1224827837b1b20
13bb7a98115a65
145397c89d58b6
1526e612ac96d9
hex13625dbbcc08

21313200311304 has 128 divisors (see below), whose sum is σ = 58605167001600. Its totient is φ = 6405492810240.

The previous prime is 21313200311203. The next prime is 21313200311317. The reversal of 21313200311304 is 40311300231312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 39043557 + ... + 39585675.

It is an arithmetic number, because the mean of its divisors is an integer number (457852867200).

Almost surely, 221313200311304 is an apocalyptic number.

21313200311304 is a gapful number since it is divisible by the number (24) 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 21313200311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302583500800).

21313200311304 is an abundant number, since it is smaller than the sum of its proper divisors (37291966690296).

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

21313200311304 is a wasteful number, since it uses less digits than its factorization.

21313200311304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543363 (or 543359 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21313200311304 its reverse (40311300231312), we get a palindrome (61624500542616).

The spelling of 21313200311304 in words is "twenty-one trillion, three hundred thirteen billion, two hundred million, three hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 411 548 822 1087 1096 1507 1644 2174 3014 3261 3288 4348 4521 6028 6522 8696 9042 11957 12056 13044 18084 23914 26088 35871 36168 47828 71742 95656 143484 148919 286968 297838 446757 542119 595676 893514 1084238 1191352 1626357 1638109 1787028 2168476 3252714 3276218 3574056 4336952 4914327 5963309 6505428 6552436 9828654 11926618 13010856 13104872 17889927 19657308 23853236 35779854 39314616 47706472 71559708 74270303 143119416 148540606 222810909 297081212 445621818 589283353 594162424 816973333 891243636 1178566706 1633946666 1767850059 1782487272 2357133412 2450919999 3267893332 3535700118 4714266824 4901839998 6482116883 6535786664 7071400236 9803679996 12964233766 14142800472 19446350649 19607359992 25928467532 38892701298 51856935064 77785402596 80731819361 155570805192 161463638722 242195458083 322927277444 484390916166 645854554888 888050012971 968781832332 1776100025942 1937563664664 2664150038913 3552200051884 5328300077826 7104400103768 10656600155652 21313200311304