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22121300310 = 2354171253307
BaseRepresentation
bin10100100110100010…
…000100000101010110
32010002200010111012220
4110212202010011112
5330301023102220
614055024123210
71412120643624
oct244642040526
963080114186
1022121300310
11942199637a
124354466506
132117012a15
1410dbd18514
158970de540
hex526884156

22121300310 has 64 divisors (see below), whose sum is σ = 55152244224. Its totient is φ = 5674054400.

The previous prime is 22121300293. The next prime is 22121300321. The reversal of 22121300310 is 1300312122.

It is a super-2 number, since 2×221213003102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22121300310.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39324 + ... + 213983.

It is an arithmetic number, because the mean of its divisors is an integer number (861753816).

Almost surely, 222121300310 is an apocalyptic number.

22121300310 is an abundant number, since it is smaller than the sum of its proper divisors (33030943914).

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

22121300310 is a wasteful number, since it uses less digits than its factorization.

22121300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253429.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22121300310 its reverse (1300312122), we get a palindrome (23421612432).

The spelling of 22121300310 in words is "twenty-two billion, one hundred twenty-one million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 71 82 123 142 205 213 246 355 410 426 615 710 1065 1230 2130 2911 5822 8733 14555 17466 29110 43665 87330 253307 506614 759921 1266535 1519842 2533070 3799605 7599210 10385587 17984797 20771174 31156761 35969594 51927935 53954391 62313522 89923985 103855870 107908782 155783805 179847970 269771955 311567610 539543910 737376677 1474753354 2212130031 3686883385 4424260062 7373766770 11060650155 22121300310