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12010000030 = 2571741713467
BaseRepresentation
bin10110010111101101…
…00000111010011110
31010222222221012210221
423023312200322132
5144044030000110
65303423551554
7603422213230
oct131366407236
933888835727
1012010000030
115103371866
1223b215b5ba
1311952563c2
1481d0a2250
154a45987da
hex2cbda0e9e

12010000030 has 128 divisors (see below), whose sum is σ = 27182905344. Its totient is φ = 3726643200.

The previous prime is 12010000027. The next prime is 12010000031. The reversal of 12010000030 is 3000001021.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 12009999968 and 12010000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462357 + ... + 3465823.

It is an arithmetic number, because the mean of its divisors is an integer number (212366448).

Almost surely, 212010000030 is an apocalyptic number.

12010000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12010000030 is an abundant number, since it is smaller than the sum of its proper divisors (15172905314).

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

12010000030 is a wasteful number, since it uses less digits than its factorization.

12010000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 12010000030 its reverse (3000001021), we get a palindrome (15010001051).

Subtracting from 12010000030 its reverse (3000001021), we obtain a palindrome (9009999009).

The spelling of 12010000030 in words is "twelve billion, ten million, thirty", and thus it is an aban number and an uban number.

Divisors: 1 2 5 7 10 14 17 34 35 41 70 71 82 85 119 142 170 205 238 287 355 410 497 574 595 697 710 994 1190 1207 1394 1435 2414 2485 2870 2911 3467 3485 4879 4970 5822 6035 6934 6970 8449 9758 12070 14555 16898 17335 20377 24269 24395 29110 34670 40754 42245 48538 48790 49487 58939 84490 98974 101885 117878 121345 142147 203770 242690 246157 247435 284294 294695 346409 412573 492314 494870 589390 692818 710735 825146 995029 1230785 1421470 1723099 1732045 1990058 2062865 2416499 2461570 3446198 3464090 4125730 4184669 4832998 4975145 8369338 8615495 9950290 10092437 12082495 16915493 17230990 20184874 20923345 24164990 29292683 33830986 41846690 50462185 58585366 70647059 84577465 100924370 141294118 146463415 169154930 171571429 292926830 343142858 353235295 706470590 857857145 1201000003 1715714290 2402000006 6005000015 12010000030