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22121221100022 = 2341119653352859
BaseRepresentation
bin1010000011110011111111…
…00001101001000111110110
32220022202201221012021110000
411001321333201221013312
510344413230100200042
6115014203152012130
74442130323620512
oct501717741510766
986282657167400
1022121221100022
117059614680510
1225932a8231046
13c46039a03955
1456695c2b7142
1528565512174c
hex141e7f8691f6

22121221100022 has 80 divisors (see below), whose sum is σ = 56920101163200. Its totient is φ = 6350589779760.

The previous prime is 22121221099931. The next prime is 22121221100029. The reversal of 22121221100022 is 22000112212122.

It is a happy number.

22121221100022 is a `hidden beast` number, since 221 + 212 + 211 + 0 + 0 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22121221099968 and 22121221100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121221100029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326642572 + ... + 326710287.

It is an arithmetic number, because the mean of its divisors is an integer number (711501264540).

Almost surely, 222121221100022 is an apocalyptic number.

22121221100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121221100022 is an abundant number, since it is smaller than the sum of its proper divisors (34798880063178).

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

22121221100022 is a wasteful number, since it uses less digits than its factorization.

22121221100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653352903 (or 653352894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121221100022 its reverse (22000112212122), we get a palindrome (44121333312144).

The spelling of 22121221100022 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 891 1026 1254 1539 1782 1881 3078 3762 5643 11286 16929 33858 653352859 1306705718 1960058577 3920117154 5880175731 7186881449 11760351462 12413704321 14373762898 17640527193 21560644347 24827408642 35281054386 37241112963 43121288694 52921581579 64681933041 74482225926 105843163158 111723338889 129363866082 136550747531 194045799123 223446677778 273101495062 335170016667 388091598246 409652242593 582137397369 670340033334 819304485186 1005510050001 1164274794738 1228956727779 2011020100002 2457913455558 3686870183337 7373740366674 11060610550011 22121221100022