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110012131020 = 22351131101139383
BaseRepresentation
bin110011001110100111…
…0111110011011001100
3101111221221020022000010
41212131032332123030
53300301101143040
6122312221433220
710643126453601
oct1463516763314
9344857208003
10110012131020
1142723a86350
12193a2a0b810
13a4b2b8671c
145478a606a8
152cdd1e1e80
hex199d3be6cc

110012131020 has 384 divisors, whose sum is σ = 353752842240. Its totient is φ = 25303680000.

The previous prime is 110012131003. The next prime is 110012131027. The reversal of 110012131020 is 20131210011.

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 = 110012130987 and 110012131005.

It is not an unprimeable number, because it can be changed into a prime (110012131027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287237749 + ... + 287238131.

It is an arithmetic number, because the mean of its divisors is an integer number (921231360).

Almost surely, 2110012131020 is an apocalyptic number.

110012131020 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 110012131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176876421120).

110012131020 is an abundant number, since it is smaller than the sum of its proper divisors (243740711220).

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

110012131020 is a wasteful number, since it uses less digits than its factorization.

110012131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

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

Adding to 110012131020 its reverse (20131210011), we get a palindrome (130143341031).

The spelling of 110012131020 in words is "one hundred ten billion, twelve million, one hundred thirty-one thousand, twenty".