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20211222000100 = 22521973102439037
BaseRepresentation
bin1001001100001110010101…
…01101010011000111100100
32122120011200210220212021111
410212013022231103013210
510122120040313000400
6110552523542354404
74154132631265225
oct446071255230744
978504623825244
1020211222000100
116492592a05a8a
1223250a142ba04
13b37baa518451
144dc32a8bb24c
15250b185ec3ba
hex1261cab531e4

20211222000100 has 36 divisors (see below), whose sum is σ = 43880581439604. Its totient is φ = 8080391159680.

The previous prime is 20211222000089. The next prime is 20211222000133. The reversal of 20211222000100 is 100022211202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1268758937664 + 18942463062436 = 1126392^2 + 4352294^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51022219 + ... + 51416818.

It is an arithmetic number, because the mean of its divisors is an integer number (1218905039989).

Almost surely, 220211222000100 is an apocalyptic number.

20211222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211222000100 is an abundant number, since it is smaller than the sum of its proper divisors (23669359439504).

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

20211222000100 is a wasteful number, since it uses less digits than its factorization.

20211222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102441024 (or 102441017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20211222000100 its reverse (100022211202), we get a palindrome (20311244211302).

The spelling of 20211222000100 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 1973 3946 7892 9865 19730 39460 49325 98650 197300 102439037 204878074 409756148 512195185 1024390370 2048780740 2560975925 5121951850 10243903700 202112220001 404224440002 808448880004 1010561100005 2021122200010 4042244400020 5052805500025 10105611000050 20211222000100