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203320100112 = 24341532717193
BaseRepresentation
bin1011110101011011010…
…0101000010100010000
3201102210201122020122020
42331112310220110100
511312344421200422
6233223131211440
720455314223113
oct2752664502420
9642721566566
10203320100112
1179255994598
12334a35a6b80
131623311b35c
149bab01057a
15544eb9795c
hex2f56d28510

203320100112 has 160 divisors (see below), whose sum is σ = 550305778176. Its totient is φ = 64624435200.

The previous prime is 203320100107. The next prime is 203320100129. The reversal of 203320100112 is 211001023302.

It is a junction number, because it is equal to n+sod(n) for n = 203320100091 and 203320100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28262788 + ... + 28269980.

Almost surely, 2203320100112 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 203320100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275152889088).

203320100112 is an abundant number, since it is smaller than the sum of its proper divisors (346985678064).

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

203320100112 is a wasteful number, since it uses less digits than its factorization.

203320100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 203320100112 its reverse (211001023302), we get a palindrome (414321123414).

The spelling of 203320100112 in words is "two hundred three billion, three hundred twenty million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 271 318 328 424 492 542 636 656 813 848 984 1084 1272 1626 1968 2168 2173 2544 3252 4336 4346 6504 6519 7193 8692 11111 13008 13038 14363 14386 17384 21579 22222 26076 28726 28772 33333 34768 43089 43158 44444 52152 57452 57544 66666 86178 86316 88888 104304 114904 115088 133332 172356 172632 177776 229808 266664 294913 344712 345264 381229 533328 588883 589826 689424 762458 884739 1143687 1177766 1179652 1524916 1766649 1769478 1949303 2287374 2355532 2359304 3049832 3533298 3538956 3898606 4574748 4711064 4718608 5847909 6099664 7066596 7077912 7797212 9149496 9422128 11695818 14133192 14155824 15594424 15630389 18298992 23391636 28266384 31188848 31260778 46783272 46891167 62521556 79921423 93566544 93782334 103313059 125043112 159842846 187564668 206626118 239764269 250086224 309939177 319685692 375129336 413252236 479528538 619878354 639371384 750258672 826504472 959057076 1239756708 1278742768 1653008944 1918114152 2479513416 3836228304 4235835419 4959026832 8471670838 12707506257 16943341676 25415012514 33886683352 50830025028 67773366704 101660050056 203320100112