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21202341040 = 2451074795171
BaseRepresentation
bin10011101111110000…
…100000110010110000
32000201121221112002101
4103233300200302300
5321410244403130
613423515430144
71350261632236
oct235760406260
960647845071
1021202341040
118aa0194701
124138755354
131ccb80b83a
141051c64956
158415ba1ca
hex4efc20cb0

21202341040 has 80 divisors (see below), whose sum is σ = 49869665280. Its totient is φ = 8382513920.

The previous prime is 21202341031. The next prime is 21202341047. The reversal of 21202341040 is 4014320212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21202340999 and 21202341017.

It is not an unprimeable number, because it can be changed into a prime (21202341047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4097655 + ... + 4102825.

It is an arithmetic number, because the mean of its divisors is an integer number (623370816).

Almost surely, 221202341040 is an apocalyptic number.

21202341040 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 21202341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934832640).

21202341040 is an abundant number, since it is smaller than the sum of its proper divisors (28667324240).

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

21202341040 is a wasteful number, since it uses less digits than its factorization.

21202341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21202341040 its reverse (4014320212), we get a palindrome (25216661252).

The spelling of 21202341040 in words is "twenty-one billion, two hundred two million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 479 535 856 958 1070 1712 1916 2140 2395 3832 4280 4790 5171 7664 8560 9580 10342 19160 20684 25855 38320 41368 51253 51710 82736 102506 103420 205012 206840 256265 410024 413680 512530 553297 820048 1025060 1106594 2050120 2213188 2476909 2766485 4100240 4426376 4953818 5532970 8852752 9907636 11065940 12384545 19815272 22131880 24769090 39630544 44263760 49538180 99076360 198152720 265029263 530058526 1060117052 1325146315 2120234104 2650292630 4240468208 5300585260 10601170520 21202341040