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22120011100 = 22521153379417
BaseRepresentation
bin10100100110011101…
…001001010101011100
32010002120200222202101
4110212131021111130
5330300210323400
614054540334444
71412103664165
oct244635112534
963076628671
1022120011100
119421195810
124353b44424
132116980c85
1410dbaa076c
15896e3756a
hex52674955c

22120011100 has 72 divisors (see below), whose sum is σ = 53352241488. Its totient is φ = 7891852800.

The previous prime is 22120011097. The next prime is 22120011101. The reversal of 22120011100 is 111002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120011101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 131409 + ... + 248008.

It is an arithmetic number, because the mean of its divisors is an integer number (741003354).

Almost surely, 222120011100 is an apocalyptic number.

22120011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120011100 is an abundant number, since it is smaller than the sum of its proper divisors (31232230388).

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

22120011100 is a wasteful number, since it uses less digits than its factorization.

22120011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379495 (or 379488 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22120011100 its reverse (111002122), we get a palindrome (22231013222).

The spelling of 22120011100 in words is "twenty-two billion, one hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 379417 758834 1517668 1897085 3794170 4173587 7588340 8347174 9485425 16694348 18970850 20109101 20867935 37941700 40218202 41735870 80436404 83471740 100545505 104339675 201091010 208679350 221200111 402182020 417358700 442400222 502727525 884800444 1005455050 1106000555 2010910100 2212001110 4424002220 5530002775 11060005550 22120011100