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21345130680 = 23352367115429
BaseRepresentation
bin10011111000010001…
…001101100010111000
32001002120121222122120
4103320101031202320
5322203323140210
613450020121240
71353644421456
oct237021154270
961076558576
1021345130680
119063851675
124178536220
132022284853
141066bd39d6
1584ddc3270
hex4f844d8b8

21345130680 has 128 divisors (see below), whose sum is σ = 67817433600. Its totient is φ = 5363246592.

The previous prime is 21345130679. The next prime is 21345130711. The reversal of 21345130680 is 8603154312.

It is a super-2 number, since 2×213451306802 (a number of 21 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 31 ways as a sum of consecutive naturals, for example, 127206 + ... + 242634.

It is an arithmetic number, because the mean of its divisors is an integer number (529823700).

Almost surely, 221345130680 is an apocalyptic number.

21345130680 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 21345130680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33908716800).

21345130680 is an abundant number, since it is smaller than the sum of its proper divisors (46472302920).

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

21345130680 is a wasteful number, since it uses less digits than its factorization.

21345130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115533 (or 115529 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 21345130680 its reverse (8603154312), we get a palindrome (29948284992).

The spelling of 21345130680 in words is "twenty-one billion, three hundred forty-five million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 67 69 92 115 120 134 138 184 201 230 268 276 335 345 402 460 536 552 670 690 804 920 1005 1340 1380 1541 1608 2010 2680 2760 3082 4020 4623 6164 7705 8040 9246 12328 15410 18492 23115 30820 36984 46230 61640 92460 115429 184920 230858 346287 461716 577145 692574 923432 1154290 1385148 1731435 2308580 2654867 2770296 3462870 4617160 5309734 6925740 7733743 7964601 10619468 13274335 13851480 15467486 15929202 21238936 23201229 26548670 30934972 31858404 38668715 39823005 46402458 53097340 61869944 63716808 77337430 79646010 92804916 106194680 116006145 154674860 159292020 177876089 185609832 232012290 309349720 318584040 355752178 464024580 533628267 711504356 889380445 928049160 1067256534 1423008712 1778760890 2134513068 2668141335 3557521780 4269026136 5336282670 7115043560 10672565340 21345130680