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20212101120 = 21235615393
BaseRepresentation
bin10010110100101111…
…000011000000000000
31221011121122010021210
4102310233003000000
5312343244213440
613141343250120
71313606011341
oct226457030000
957147563253
1020212101120
118632227802
123b00ba9940
131ba160ac63
14d9a5380c8
157d46b5a80
hex4b4bc3000

20212101120 has 208 divisors, whose sum is σ = 65743193952. Its totient is φ = 5300551680.

The previous prime is 20212101101. The next prime is 20212101121. The reversal of 20212101120 is 2110121202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20212101096 and 20212101105.

It is not an unprimeable number, because it can be changed into a prime (20212101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3745144 + ... + 3750536.

Almost surely, 220212101120 is an apocalyptic number.

20212101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32871596976).

20212101120 is an abundant number, since it is smaller than the sum of its proper divisors (45531092832).

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

20212101120 is an equidigital number, since it uses as much as digits as its factorization.

20212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20212101120 its reverse (2110121202), we get a palindrome (22322222322).

The spelling of 20212101120 in words is "twenty billion, two hundred twelve million, one hundred one thousand, one hundred twenty".