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22012110121104 = 2432152861875841
BaseRepresentation
bin1010000000101000110000…
…00000010010100010010000
32212221100002210122020201200
411000110120000102202100
510341121300142333404
6114452120201031200
74431215415611325
oct500243000224220
985840083566650
1022012110121104
117017313344074
122576117185500
13c3896b75812c
1456156b1d2b4c
152828bb0d7839
hex140518012890

22012110121104 has 30 divisors (see below), whose sum is σ = 61603335964326. Its totient is φ = 7337370040320.

The previous prime is 22012110121097. The next prime is 22012110121129. The reversal of 22012110121104 is 40112101121022.

It can be written as a sum of positive squares in only one way, i.e., 16810426402704 + 5201683718400 = 4100052^2 + 2280720^2 .

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76430937777 + ... + 76430938064.

Almost surely, 222012110121104 is an apocalyptic number.

22012110121104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22012110121104 is an abundant number, since it is smaller than the sum of its proper divisors (39591225843222).

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

22012110121104 is a wasteful number, since it uses less digits than its factorization.

22012110121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152861875855 (or 152861875846 counting only the distinct ones).

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

Adding to 22012110121104 its reverse (40112101121022), we get a palindrome (62124211242126).

The spelling of 22012110121104 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 152861875841 305723751682 458585627523 611447503364 917171255046 1222895006728 1375756882569 1834342510092 2445790013456 2751513765138 3668685020184 5503027530276 7337370040368 11006055060552 22012110121104