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21130322240 = 265227461631
BaseRepresentation
bin10011101011011101…
…110010000101000000
32000112121102120212102
4103223131302011000
5321233330302430
613412424045532
71345425530006
oct235335620500
960477376772
1021130322240
118a63574935
1241186038a8
131cb9914171
141046478a76
1583a0e1345
hex4eb772140

21130322240 has 112 divisors (see below), whose sum is σ = 50728132224. Its totient is φ = 8383334400.

The previous prime is 21130322231. The next prime is 21130322263. The reversal of 21130322240 is 4222303112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33486725 + ... + 33487355.

It is an arithmetic number, because the mean of its divisors is an integer number (452929752).

Almost surely, 221130322240 is an apocalyptic number.

21130322240 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 21130322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364066112).

21130322240 is an abundant number, since it is smaller than the sum of its proper divisors (29597809984).

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

21130322240 is a wasteful number, since it uses less digits than its factorization.

21130322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21130322240 its reverse (4222303112), we get a palindrome (25352625352).

The spelling of 21130322240 in words is "twenty-one billion, one hundred thirty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 320 454 461 631 908 922 1135 1262 1816 1844 2270 2305 2524 3155 3632 3688 4540 4610 5048 6310 7264 7376 9080 9220 10096 12620 14528 14752 18160 18440 20192 25240 29504 36320 36880 40384 50480 72640 73760 100960 104647 143237 147520 201920 209294 286474 290891 418588 523235 572948 581782 716185 837176 1046470 1145896 1163564 1432370 1454455 1674352 2092940 2291792 2327128 2864740 2908910 3348704 4185880 4583584 4654256 5729480 5817820 6697408 8371760 9167168 9308512 11458960 11635640 16743520 18617024 22917920 23271280 33487040 45835840 46542560 66032257 93085120 132064514 264129028 330161285 528258056 660322570 1056516112 1320645140 2113032224 2641290280 4226064448 5282580560 10565161120 21130322240