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22100102304 = 253724698151
BaseRepresentation
bin10100100101010001…
…001100110010100000
32010001012020112000120
4110211101030302200
5330230111233204
614052545520240
71411442525100
oct244521146240
963035215016
1022100102304
119410a27a65
124349343080
132112800217
1410d919b200
158953036d9
hex52544cca0

22100102304 has 72 divisors (see below), whose sum is σ = 67484255328. Its totient is φ = 6314313600.

The previous prime is 22100102293. The next prime is 22100102309. The reversal of 22100102304 is 40320100122.

It is a super-2 number, since 2×221001023042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22100102309) 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 11 ways as a sum of consecutive naturals, for example, 2344372 + ... + 2353779.

It is an arithmetic number, because the mean of its divisors is an integer number (937281324).

Almost surely, 222100102304 is an apocalyptic number.

22100102304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22100102304 is an abundant number, since it is smaller than the sum of its proper divisors (45384153024).

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

22100102304 is a wasteful number, since it uses less digits than its factorization.

22100102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698178 (or 4698163 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22100102304 its reverse (40320100122), we get a palindrome (62420202426).

The spelling of 22100102304 in words is "twenty-two billion, one hundred million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 4698151 9396302 14094453 18792604 28188906 32887057 37585208 56377812 65774114 75170416 98661171 112755624 131548228 150340832 197322342 225511248 230209399 263096456 394644684 451022496 460418798 526192912 690628197 789289368 920837596 1052385824 1381256394 1578578736 1841675192 2762512788 3157157472 3683350384 5525025576 7366700768 11050051152 22100102304