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10112122020 = 2235711131011667
BaseRepresentation
bin10010110101011101…
…01011110010100100
3222002201202000121210
421122232223302210
5131202200401040
64351225511420
7505405422210
oct113256536244
928081660553
1010112122020
11431a035a40
121b62642570
13c51cb6670
146bcdcb940
153e2b59480
hex25ababca4

10112122020 has 384 divisors, whose sum is σ = 38415347712. Its totient is φ = 1919232000.

The previous prime is 10112121997. The next prime is 10112122049. The reversal of 10112122020 is 2022121101.

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 = 10112121987 and 10112122005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6065227 + ... + 6066893.

It is an arithmetic number, because the mean of its divisors is an integer number (100039968).

Almost surely, 210112122020 is an apocalyptic number.

10112122020 is a gapful number since it is divisible by the number (10) 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 10112122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207673856).

10112122020 is an abundant number, since it is smaller than the sum of its proper divisors (28303225692).

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

10112122020 is a wasteful number, since it uses less digits than its factorization.

10112122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

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

Adding to 10112122020 its reverse (2022121101), we get a palindrome (12134243121).

It can be divided in two parts, 101 and 12122020, that added together give a palindrome (12122121).

The spelling of 10112122020 in words is "ten billion, one hundred twelve million, one hundred twenty-two thousand, twenty".