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100312222230 = 23351123070469
BaseRepresentation
bin101110101101100010…
…0110000101000010110
3100120220221010212122000
41131123010300220112
53120414412102410
6114025515020130
710150554551253
oct1353304605026
9316827125560
10100312222230
11395a66a8300
121753643a646
1395c83c971c
144bd86d642a
15292185edc0
hex175b130a16

100312222230 has 96 divisors (see below), whose sum is σ = 294028207200. Its totient is φ = 24318106560.

The previous prime is 100312222223. The next prime is 100312222261. The reversal of 100312222230 is 32222213001.

100312222230 is a `hidden beast` number, since 100 + 312 + 2 + 22 + 230 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1502565 + ... + 1567904.

It is an arithmetic number, because the mean of its divisors is an integer number (3062793825).

Almost surely, 2100312222230 is an apocalyptic number.

100312222230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100312222230 is an abundant number, since it is smaller than the sum of its proper divisors (193715984970).

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

100312222230 is a wasteful number, since it uses less digits than its factorization.

100312222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070507 (or 3070490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100312222230 its reverse (32222213001), we get a palindrome (132534435231).

The spelling of 100312222230 in words is "one hundred billion, three hundred twelve million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1815 2178 2970 3267 3630 5445 6534 10890 16335 32670 3070469 6140938 9211407 15352345 18422814 27634221 30704690 33775159 46057035 55268442 67550318 82902663 92114070 101325477 138171105 165805326 168875795 202650954 276342210 303976431 337751590 371526749 414513315 506627385 607952862 743053498 829026630 911929293 1013254770 1114580247 1519882155 1823858586 1857633745 2229160494 3039764310 3343740741 3715267490 4559646465 5572901235 6687481482 9119292930 10031222223 11145802470 16718703705 20062444446 33437407410 50156111115 100312222230