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100114344 = 233211196653
BaseRepresentation
bin1011111011110…
…01111110101000
320222101100001200
411331321332220
5201112124334
613533444200
72323646361
oct575717650
9228340050
10100114344
115156a430
1229640660
1317983875
14d420b68
158bc8799
hex5f79fa8

100114344 has 96 divisors (see below), whose sum is σ = 311407200. Its totient is φ = 28736640.

The previous prime is 100114307. The next prime is 100114361. The reversal of 100114344 is 443411001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11722 + ... + 18374.

It is an arithmetic number, because the mean of its divisors is an integer number (3243825).

Almost surely, 2100114344 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 100114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155703600).

100114344 is an abundant number, since it is smaller than the sum of its proper divisors (211292856).

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

100114344 is a wasteful number, since it uses less digits than its factorization.

100114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100114344 is about 10005.7155666149. The cubic root of 100114344 is about 464.3357285856.

Adding to 100114344 its reverse (443411001), we get a palindrome (543525345).

The spelling of 100114344 in words is "one hundred million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 6653 7524 13306 15048 19959 26612 39918 53224 59877 73183 79836 119754 126407 146366 159672 219549 239508 252814 292732 379221 439098 479016 505628 585464 658647 758442 878196 1011256 1137663 1317294 1390477 1516884 1756392 2275326 2634588 2780954 3033768 4171431 4550652 5269176 5561908 8342862 9101304 11123816 12514293 16685724 25028586 33371448 50057172 100114344