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22001022112120 = 235678209336609
BaseRepresentation
bin1010000000010100000110…
…00110111001000101111000
32212220021111001121000212021
411000022003012321011320
510340431043130041440
6114443044030324224
74430343560234452
oct500120306710570
985807431530767
1022001022112120
117012643464887
122573b41959674
13c378c2527b7c
14560bd87732d2
1528246c96184a
hex1402831b9178

22001022112120 has 32 divisors (see below), whose sum is σ = 50241140053200. Its totient is φ = 8669059458048.

The previous prime is 22001022112109. The next prime is 22001022112133. The reversal of 22001022112120 is 2121122010022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22001022112094 and 22001022112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4104665625 + ... + 4104670984.

Almost surely, 222001022112120 is an apocalyptic number.

22001022112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001022112120 is an abundant number, since it is smaller than the sum of its proper divisors (28240117941080).

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

22001022112120 is a wasteful number, since it uses less digits than its factorization.

22001022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209336687 (or 8209336683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22001022112120 its reverse (2121122010022), we get a palindrome (24122144122142).

The spelling of 22001022112120 in words is "twenty-two trillion, one billion, twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 8209336609 16418673218 32837346436 41046683045 65674692872 82093366090 164186732180 328373464360 550025552803 1100051105606 2200102211212 2750127764015 4400204422424 5500255528030 11000511056060 22001022112120