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22101121112202 = 23211404927567751
BaseRepresentation
bin1010000011001110100010…
…11110010001100010001010
32220020211212010112002200200
411001213101132101202022
510344101044001042302
6115001040451313030
74440516245552106
oct501472136214212
986224763462620
1022101121112202
11705103a769130
12258b4188ab776
13c441856bac32
145659b2a04906
15284d7a70481c
hex1419d179188a

22101121112202 has 48 divisors (see below), whose sum is σ = 52251917140800. Its totient is φ = 6695655120000.

The previous prime is 22101121112197. The next prime is 22101121112219. The reversal of 22101121112202 is 20221112110122.

22101121112202 is a `hidden beast` number, since 221 + 0 + 11 + 211 + 1 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12982174 + ... + 14585577.

It is an arithmetic number, because the mean of its divisors is an integer number (1088581607100).

Almost surely, 222101121112202 is an apocalyptic number.

22101121112202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22101121112202 is an abundant number, since it is smaller than the sum of its proper divisors (30150796028598).

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

22101121112202 is a wasteful number, since it uses less digits than its factorization.

22101121112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27571819 (or 27571816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22101121112202 its reverse (20221112110122), we get a palindrome (42322233222324).

The spelling of 22101121112202 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 4049 8098 12147 24294 36441 44539 72882 89078 133617 267234 400851 801702 27567751 55135502 82703253 165406506 248109759 303245261 496219518 606490522 909735783 1819471566 2729207349 5458414698 111621823799 223243647598 334865471397 669730942794 1004596414191 1227840061789 2009192828382 2455680123578 3683520185367 7367040370734 11050560556101 22101121112202