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22101220100120 = 235778932928929
BaseRepresentation
bin1010000011001110101110…
…10111111000100000011000
32220020212010000210012120212
411001213113113320200120
510344101244321200440
6115001054345110252
74440521560130450
oct501472727704030
986225100705525
1022101220100120
117051090629227
12258b445a88388
13c441a0068b75
145659c1c10d60
15284d84259465
hex1419d75f8818

22101220100120 has 32 divisors (see below), whose sum is σ = 56831708829600. Its totient is φ = 7577561177088.

The previous prime is 22101220100111. The next prime is 22101220100123. The reversal of 22101220100120 is 2100102210122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22101220100095 and 22101220100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101220100123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39466464185 + ... + 39466464744.

It is an arithmetic number, because the mean of its divisors is an integer number (1775990900925).

Almost surely, 222101220100120 is an apocalyptic number.

22101220100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101220100120 is an abundant number, since it is smaller than the sum of its proper divisors (34730488729480).

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

22101220100120 is a wasteful number, since it uses less digits than its factorization.

22101220100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78932928947 (or 78932928943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22101220100120 its reverse (2100102210122), we get a palindrome (24201322310242).

The spelling of 22101220100120 in words is "twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 78932928929 157865857858 315731715716 394664644645 552530502503 631463431432 789329289290 1105061005006 1578658578580 2210122010012 2762652512515 3157317157160 4420244020024 5525305025030 11050610050060 22101220100120