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22121311300 = 22521143467681
BaseRepresentation
bin10100100110100010…
…000110110001000100
32010002200011001021221
4110212202012301010
5330301023430200
614055024250124
71412121020644
oct244642066104
963080131257
1022121311300
1194219a3660
124354470944
132117017a1a
1410dbd1c524
158970e291a
hex526886c44

22121311300 has 72 divisors (see below), whose sum is σ = 53585132832. Its totient is φ = 7857024000.

The previous prime is 22121311213. The next prime is 22121311301. The reversal of 22121311300 is 311312122.

It is not an unprimeable number, because it can be changed into a prime (22121311301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186541 + ... + 281140.

It is an arithmetic number, because the mean of its divisors is an integer number (744237956).

Almost surely, 222121311300 is an apocalyptic number.

22121311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121311300 is an abundant number, since it is smaller than the sum of its proper divisors (31463821532).

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

22121311300 is a wasteful number, since it uses less digits than its factorization.

22121311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467749 (or 467742 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22121311300 its reverse (311312122), we get a palindrome (22432623422).

The spelling of 22121311300 in words is "twenty-two billion, one hundred twenty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 467681 935362 1870724 2338405 4676810 5144491 9353620 10288982 11692025 20110283 20577964 23384050 25722455 40220566 46768100 51444910 80441132 100551415 102889820 128612275 201102830 221213113 257224550 402205660 442426226 502757075 514449100 884852452 1005514150 1106065565 2011028300 2212131130 4424262260 5530327825 11060655650 22121311300