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20212122000100 = 22521554611300141
BaseRepresentation
bin1001001100010000000000…
…10110100001101011100100
32122120021000112102121011211
410212020000112201223210
510122123411213000400
6110553153132441204
74154164140204022
oct446100026415344
978507015377154
1020212122000100
116492a04a38338
1223252b2919204
13b37cc1b11b24
144dc3b4237712
15250b6c628dba
hex1262005a1ae4

20212122000100 has 36 divisors (see below), whose sum is σ = 43860620606068. Its totient is φ = 8084790576000.

The previous prime is 20212122000011. The next prime is 20212122000131. The reversal of 20212122000100 is 100022121202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 911845468836 + 19300276531264 = 954906^2 + 4393208^2 .

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, 14896030 + ... + 16196170.

Almost surely, 220212122000100 is an apocalyptic number.

20212122000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212122000100 is an abundant number, since it is smaller than the sum of its proper divisors (23648498605968).

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

20212122000100 is a wasteful number, since it uses less digits than its factorization.

20212122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455616 (or 1455609 counting only the distinct ones).

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

Adding to 20212122000100 its reverse (100022121202), we get a palindrome (20312144121302).

The spelling of 20212122000100 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 155461 310922 621844 777305 1300141 1554610 2600282 3109220 3886525 5200564 6500705 7773050 13001410 15546100 26002820 32503525 65007050 130014100 202121220001 404242440002 808484880004 1010606100005 2021212200010 4042424400020 5053030500025 10106061000050 20212122000100