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20212122112 = 297213292137
BaseRepresentation
bin10010110100101111…
…001000001000000000
31221011121200012002021
4102310233020020000
5312343300401422
613141343531224
71313606126500
oct226457101000
957147605067
1020212122112
118632241556
123b00bb9b14
131ba1617690
14d9a541a00
157d46bbdc7
hex4b4bc8200

20212122112 has 240 divisors, whose sum is σ = 52360945560. Its totient is φ = 7716667392.

The previous prime is 20212122107. The next prime is 20212122143. The reversal of 20212122112 is 21122121202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8579205376 + 11632916736 = 92624^2 + 107856^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9457108 + ... + 9459244.

Almost surely, 220212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26180472780).

20212122112 is an abundant number, since it is smaller than the sum of its proper divisors (32148823448).

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

20212122112 is a wasteful number, since it uses less digits than its factorization.

20212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2188 counting only the distinct ones).

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

Adding to 20212122112 its reverse (21122121202), we get a palindrome (41334243314).

The spelling of 20212122112 in words is "twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".