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21235124760 = 23357310124001
BaseRepresentation
bin10011110001101101…
…100100101000011000
32000210220122002220020
4103301231210220120
5321442142443020
613431050230440
71351140403503
oct236155445030
960726562806
1021235124760
119007746593
124147725420
1320055498a5
14105635a13a
158443e3c40
hex4f1b64a18

21235124760 has 128 divisors (see below), whose sum is σ = 65220154560. Its totient is φ = 5529600000.

The previous prime is 21235124731. The next prime is 21235124821. The reversal of 21235124760 is 6742153212.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 872760 + ... + 896760.

Almost surely, 221235124760 is an apocalyptic number.

21235124760 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 21235124760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32610077280).

21235124760 is an abundant number, since it is smaller than the sum of its proper divisors (43985029800).

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

21235124760 is a wasteful number, since it uses less digits than its factorization.

21235124760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24189 (or 24185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 21235124760 its reverse (6742153212), we get a palindrome (27977277972).

The spelling of 21235124760 in words is "twenty-one billion, two hundred thirty-five million, one hundred twenty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 101 120 146 202 219 292 303 365 404 438 505 584 606 730 808 876 1010 1095 1212 1460 1515 1752 2020 2190 2424 2920 3030 4040 4380 6060 7373 8760 12120 14746 22119 24001 29492 36865 44238 48002 58984 72003 73730 88476 96004 110595 120005 144006 147460 176952 192008 221190 240010 288012 294920 360015 442380 480020 576024 720030 884760 960040 1440060 1752073 2424101 2880120 3504146 4848202 5256219 7008292 7272303 8760365 9696404 10512438 12120505 14016584 14544606 17520730 19392808 21024876 24241010 26281095 29089212 35041460 36361515 42049752 48482020 52562190 58178424 70082920 72723030 96964040 105124380 145446060 176959373 210248760 290892120 353918746 530878119 707837492 884796865 1061756238 1415674984 1769593730 2123512476 2654390595 3539187460 4247024952 5308781190 7078374920 10617562380 21235124760