Search a number
-
+
21300422040 = 2333558733599
BaseRepresentation
bin10011110101100110…
…101010010110011000
32000222110111112221000
4103311212222112120
5322110402001130
613441341545000
71352562412542
oct236546522630
960873445830
1021300422040
119040595387
124165575160
132015c2ca31
141060cb6692
15849ee1260
hex4f59aa598

21300422040 has 128 divisors (see below), whose sum is σ = 71124480000. Its totient is φ = 5670267264.

The previous prime is 21300422027. The next prime is 21300422063. The reversal of 21300422040 is 4022400312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 617161 + ... + 650759.

It is an arithmetic number, because the mean of its divisors is an integer number (555660000).

Almost surely, 221300422040 is an apocalyptic number.

21300422040 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 21300422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240000).

21300422040 is an abundant number, since it is smaller than the sum of its proper divisors (49824057960).

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

21300422040 is a wasteful number, since it uses less digits than its factorization.

21300422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34206 (or 34196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21300422040 its reverse (4022400312), we get a palindrome (25322822352).

The spelling of 21300422040 in words is "twenty-one billion, three hundred million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 587 1080 1174 1761 2348 2935 3522 4696 5283 5870 7044 8805 10566 11740 14088 15849 17610 21132 23480 26415 31698 33599 35220 42264 52830 63396 67198 70440 79245 100797 105660 126792 134396 158490 167995 201594 211320 268792 302391 316980 335990 403188 503985 604782 633960 671980 806376 907173 1007970 1209564 1343960 1511955 1814346 2015940 2419128 3023910 3628692 4031880 4535865 6047820 7257384 9071730 12095640 18143460 19722613 36286920 39445226 59167839 78890452 98613065 118335678 157780904 177503517 197226130 236671356 295839195 355007034 394452260 473342712 532510551 591678390 710014068 788904520 887517585 1065021102 1183356780 1420028136 1775035170 2130042204 2366713560 2662552755 3550070340 4260084408 5325105510 7100140680 10650211020 21300422040