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21132313002320 = 24513157319140559
BaseRepresentation
bin1001100111000010000000…
…00000101000000101010000
32202211020012020010212110012
410303201000000220011100
510232212434112033240
6112540014531254052
74310521262522162
oct463410000500520
982736166125405
1021132313002320
116808188853a23
122453700a4a328
13ba39cb6cc510
14530b49024932
15269a7754eb65
hex133840028150

21132313002320 has 160 divisors (see below), whose sum is σ = 53267080688640. Its totient is φ = 7750380718080.

The previous prime is 21132313002319. The next prime is 21132313002343. The reversal of 21132313002320 is 2320031323112.

It is a congruent number.

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, 521006201 + ... + 521046759.

It is an arithmetic number, because the mean of its divisors is an integer number (332919254304).

Almost surely, 221132313002320 is an apocalyptic number.

21132313002320 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 21132313002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26633540344320).

21132313002320 is an abundant number, since it is smaller than the sum of its proper divisors (32134767686320).

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

21132313002320 is a wasteful number, since it uses less digits than its factorization.

21132313002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43933 (or 43927 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21132313002320 its reverse (2320031323112), we get a palindrome (23452344325432).

The spelling of 21132313002320 in words is "twenty-one trillion, one hundred thirty-two billion, three hundred thirteen million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 520 628 785 1040 1256 1570 2041 2512 3140 3191 4082 6280 6382 8164 10205 12560 12764 15955 16328 20410 25528 31910 32656 40559 40820 41483 51056 63820 81118 81640 82966 127640 162236 163280 165932 202795 207415 255280 324472 331864 405590 414830 500987 527267 648944 663728 811180 829660 1001974 1054534 1622360 1659320 2003948 2109068 2504935 2636335 3244720 3318640 4007896 4218136 5009870 5272670 6367763 6512831 8015792 8436272 10019740 10545340 12735526 13025662 20039480 21090680 25471052 26051324 31838815 32564155 40078960 42181360 50942104 52102648 63677630 65128310 82780919 101884208 104205296 127355260 129423769 130256620 165561838 254710520 258847538 260513240 331123676 413904595 509421040 517695076 521026480 647118845 662247352 827809190 1035390152 1294237690 1324494704 1655618380 1682508997 2070780304 2588475380 3311236760 3365017994 5176950760 6622473520 6730035988 8412544985 10353901520 13460071976 16825089970 20319531733 26920143952 33650179940 40639063466 67300359880 81278126932 101597658665 134600719760 162556253864 203195317330 264153912529 325112507728 406390634660 528307825058 812781269320 1056615650116 1320769562645 1625562538640 2113231300232 2641539125290 4226462600464 5283078250580 10566156501160 21132313002320