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21313013331132 = 2234331790125153
BaseRepresentation
bin1001101100010010100101…
…00101101011010010111100
32210110111121112200200020000
410312021102211223102330
510243143022403044012
6113155021350354300
74326546224133225
oct466112245532274
983414545620200
1021313013331132
11687788643a546
12248273105b990
13bb7a684699c3
145397abc4224c
1526e601492ddc
hex13625296b4bc

21313013331132 has 120 divisors (see below), whose sum is σ = 55894049597232. Its totient is φ = 7081696512000.

The previous prime is 21313013331107. The next prime is 21313013331157. The reversal of 21313013331132 is 23113331031312.

21313013331132 is a `hidden beast` number, since 2 + 1 + 313 + 0 + 1 + 3 + 3 + 311 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (21313013331107) and next prime (21313013331157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21313013331096 and 21313013331105.

It is a congruent number.

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, 847322268 + ... + 847347420.

Almost surely, 221313013331132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313013331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27947024798616).

21313013331132 is an abundant number, since it is smaller than the sum of its proper divisors (34581036266100).

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

21313013331132 is a wasteful number, since it uses less digits than its factorization.

21313013331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33401 (or 33390 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 21313013331132 its reverse (23113331031312), we get a palindrome (44426344362444).

The spelling of 21313013331132 in words is "twenty-one trillion, three hundred thirteen billion, thirteen million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 331 662 993 1324 1986 2979 3972 5958 7901 8937 11916 15802 17874 23703 25153 26811 31604 35748 47406 50306 53622 71109 75459 94812 100612 107244 142218 150918 213327 226377 284436 301836 426654 452754 639981 679131 853308 905508 1279962 1358262 2037393 2559924 2615231 2716524 4074786 5230462 7845693 8149572 8325643 10460924 15691386 16651286 23537079 24976929 31382772 33302572 47074158 49953858 70611237 74930787 94148316 99907716 141222474 149861574 198733853 211833711 224792361 282444948 299723148 397467706 423667422 449584722 596201559 674377083 794935412 847334844 899169444 1192403118 1348754166 1788604677 2384806236 2697508332 3577209354 5365814031 7154418708 10731628062 16097442093 21463256124 32194884186 64389768372 65780905343 131561810686 197342716029 263123621372 394685432058 592028148087 789370864116 1184056296174 1776084444261 2368112592348 3552168888522 5328253332783 7104337777044 10656506665566 21313013331132