Search a number
-
+
20122121100020 = 2251006106055001
BaseRepresentation
bin1001001001101000010111…
…11000010101101011110100
32122020122201012212011101012
410210310023320111223310
510114140101000200040
6110443550321051352
74144526630161232
oct444641370255364
978218635764335
1020122121100020
11645881a861a85
12230b975786b58
13b2c67aa65c74
144d7cb7183952
1524d651170865
hex124d0be15af4

20122121100020 has 12 divisors (see below), whose sum is σ = 42256454310084. Its totient is φ = 8048848440000.

The previous prime is 20122121100019. The next prime is 20122121100023. The reversal of 20122121100020 is 2000112122102.

It can be written as a sum of positive squares in 2 ways, for example, as 7643112685924 + 12479008414096 = 2764618^2 + 3532564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20122121099968 and 20122121100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122121100023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503053027481 + ... + 503053027520.

It is an arithmetic number, because the mean of its divisors is an integer number (3521371192507).

Almost surely, 220122121100020 is an apocalyptic number.

20122121100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121100020 is an abundant number, since it is smaller than the sum of its proper divisors (22134333210064).

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

20122121100020 is a wasteful number, since it uses less digits than its factorization.

20122121100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006106055010 (or 1006106055008 counting only the distinct ones).

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

Adding to 20122121100020 its reverse (2000112122102), we get a palindrome (22122233222122).

The spelling of 20122121100020 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 1006106055001 2012212110002 4024424220004 5030530275005 10061060550010 20122121100020