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113145012 = 22341372549
BaseRepresentation
bin1101011111001…
…11010010110100
321212220100210000
412233213102310
5212431120022
615121031300
72542500561
oct657472264
9255810700
10113145012
115895a582
1231a85530
131a596a16
1411053868
159dee6ac
hex6be74b4

113145012 has 60 divisors (see below), whose sum is σ = 298059300. Its totient is φ = 37425024.

The previous prime is 113144987. The next prime is 113145017. The reversal of 113145012 is 210541311.

It can be written as a sum of positive squares in 2 ways, for example, as 88284816 + 24860196 = 9396^2 + 4986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113145017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43114 + ... + 45662.

It is an arithmetic number, because the mean of its divisors is an integer number (4967655).

Almost surely, 2113145012 is an apocalyptic number.

113145012 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 113145012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149029650).

113145012 is an abundant number, since it is smaller than the sum of its proper divisors (184914288).

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

113145012 is a wasteful number, since it uses less digits than its factorization.

113145012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113145012 is about 10636.9644165993. The cubic root of 113145012 is about 483.6655305912.

Adding to 113145012 its reverse (210541311), we get a palindrome (323686323).

The spelling of 113145012 in words is "one hundred thirteen million, one hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 822 1233 1644 2466 2549 3699 4932 5098 7398 7647 10196 11097 14796 15294 22194 22941 30588 44388 45882 68823 91764 137646 206469 275292 349213 412938 698426 825876 1047639 1396852 2095278 3142917 4190556 6285834 9428751 12571668 18857502 28286253 37715004 56572506 113145012