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20122121202100 = 2252229878695249
BaseRepresentation
bin1001001001101000010111…
…11000101110100110110100
32122020122201020001100101221
410210310023320232212310
510114140101011431400
6110443550323200124
74144526631064651
oct444641370564664
978218636040357
1020122121202100
11645881a921745
12230b975816044
13b2c67aaa0578
144d7cb71acc28
1524d651190c1a
hex124d0be2e9b4

20122121202100 has 36 divisors (see below), whose sum is σ = 43855679927500. Its totient is φ = 8013700661760.

The previous prime is 20122121202037. The next prime is 20122121202107. The reversal of 20122121202100 is 120212122102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4578042212496 + 15544078989604 = 2139636^2 + 3942598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122121202107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439324725 + ... + 439370524.

Almost surely, 220122121202100 is an apocalyptic number.

20122121202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122121202100 is an abundant number, since it is smaller than the sum of its proper divisors (23733558725400).

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

20122121202100 is a wasteful number, since it uses less digits than its factorization.

20122121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878695492 (or 878695485 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122121202100 its reverse (120212122102), we get a palindrome (20242333324202).

The spelling of 20122121202100 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 878695249 1757390498 3514780996 4393476245 8786952490 17573904980 21967381225 43934762450 87869524900 201221212021 402442424042 804884848084 1006106060105 2012212120210 4024424240420 5030530300525 10061060601050 20122121202100