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22242113101300 = 22521072119851669
BaseRepresentation
bin1010000111010101001010…
…10000000001110111110100
32220202022210002211020122211
411003222211100001313310
510403403321423220200
6115145515151103204
74453640203645651
oct503524520016764
986668702736584
1022242113101300
1170a5910aa4374
1225b2806811b04
13c54564943a11
1456c749c96c28
1528887d573aba
hex143aa5401df4

22242113101300 has 72 divisors (see below), whose sum is σ = 48947352481440. Its totient is φ = 8771925187200.

The previous prime is 22242113101277. The next prime is 22242113101303. The reversal of 22242113101300 is 310131124222.

It is a super-2 number, since 2×222421131013002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242113101303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668135 + ... + 7183534.

It is an arithmetic number, because the mean of its divisors is an integer number (679824340020).

Almost surely, 222242113101300 is an apocalyptic number.

22242113101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22242113101300 is an abundant number, since it is smaller than the sum of its proper divisors (26705239380140).

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

22242113101300 is a wasteful number, since it uses less digits than its factorization.

22242113101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9852001 (or 9851994 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22242113101300 its reverse (310131124222), we get a palindrome (22552244225522).

The spelling of 22242113101300 in words is "twenty-two trillion, two hundred forty-two billion, one hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 211 214 422 428 535 844 1055 1070 2110 2140 2675 4220 5275 5350 10550 10700 21100 22577 45154 90308 112885 225770 451540 564425 1128850 2257700 9851669 19703338 39406676 49258345 98516690 197033380 246291725 492583450 985166900 1054128583 2078702159 2108257166 4157404318 4216514332 5270642915 8314808636 10393510795 10541285830 20787021590 21082571660 26353214575 41574043180 51967553975 52706429150 103935107950 105412858300 207870215900 222421131013 444842262026 889684524052 1112105655065 2224211310130 4448422620260 5560528275325 11121056550650 22242113101300