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100344112 = 24114313259
BaseRepresentation
bin1011111101100…
…10000100110000
320222211000020121
411332302010300
5201142002422
613542420024
72325624301
oct576620460
9228730217
10100344112
1151707020
1229731614
1317a3431b
14d4807a8
158c218c7
hex5fb2130

100344112 has 40 divisors (see below), whose sum is σ = 217039680. Its totient is φ = 44546880.

The previous prime is 100344103. The next prime is 100344157. The reversal of 100344112 is 211443001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 939 + ... + 14197.

It is an arithmetic number, because the mean of its divisors is an integer number (5425992).

Almost surely, 2100344112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

100344112 is an abundant number, since it is smaller than the sum of its proper divisors (116695568).

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

100344112 is a wasteful number, since it uses less digits than its factorization.

100344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100344112 is about 10017.1908237789. The cubic root of 100344112 is about 464.6906826375.

Adding to 100344112 its reverse (211443001), we get a palindrome (311787113).

The spelling of 100344112 in words is "one hundred million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 13259 26518 53036 106072 145849 212144 291698 570137 583396 1140274 1166792 2280548 2333584 4561096 6271507 9122192 12543014 25086028 50172056 100344112