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110013012 = 22336116699
BaseRepresentation
bin1101000111010…
…10101001010100
321200000020111000
412203222221110
5211130404022
614525543300
72504044434
oct643525124
9250006430
10110013012
115711044a
1230a14b30
1319a3b275
141087a2c4
1599d16ac
hex68eaa54

110013012 has 48 divisors (see below), whose sum is σ = 289912000. Its totient is φ = 36067680.

The previous prime is 110012999. The next prime is 110013019. The reversal of 110013012 is 210310011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110012985 and 110013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762 + ... + 14937.

Almost surely, 2110013012 is an apocalyptic number.

110013012 is a gapful number since it is divisible by the number (12) 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 110013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144956000).

110013012 is an abundant number, since it is smaller than the sum of its proper divisors (179898988).

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

110013012 is a wasteful number, since it uses less digits than its factorization.

110013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16773 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110013012 is about 10488.7087861185. The cubic root of 110013012 is about 479.1608776751.

Adding to 110013012 its reverse (210310011), we get a palindrome (320323023).

The spelling of 110013012 in words is "one hundred ten million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 16699 33398 50097 66796 100194 150291 200388 300582 450873 601164 901746 1018639 1803492 2037278 3055917 4074556 6111834 9167751 12223668 18335502 27503253 36671004 55006506 110013012