Search a number
-
+
12010013013030 = 2354361631241877
BaseRepresentation
bin1010111011000100110010…
…0011110011010000100110
31120112010221110022212102220
42232301030203303100212
53033233001312404110
641313153535413210
72346460214143224
oct256611443632046
946463843285386
1012010013013030
11391046627778a
12141b755084206
13691701cb5176
142d740576bb14
1515c61beee370
hexaec4c8f3426

12010013013030 has 128 divisors (see below), whose sum is σ = 30025504244736. Its totient is φ = 3072018700800.

The previous prime is 12010013013023. The next prime is 12010013013133. The reversal of 12010013013030 is 3031031001021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49532452 + ... + 49774328.

It is an arithmetic number, because the mean of its divisors is an integer number (234574251912).

Almost surely, 212010013013030 is an apocalyptic number.

12010013013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010013013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012752122368).

12010013013030 is an abundant number, since it is smaller than the sum of its proper divisors (18015491231706).

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

12010013013030 is a wasteful number, since it uses less digits than its factorization.

12010013013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242622.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12010013013030 its reverse (3031031001021), we get a palindrome (15041044014051).

The spelling of 12010013013030 in words is "twelve trillion, ten billion, thirteen million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 129 183 215 258 305 366 430 610 631 645 915 1262 1290 1830 1893 2623 3155 3786 5246 6310 7869 9465 13115 15738 18930 26230 27133 38491 39345 54266 76982 78690 81399 115473 135665 162798 192455 230946 241877 271330 384910 406995 483754 577365 725631 813990 1154730 1209385 1451262 1655113 2418770 3310226 3628155 4965339 7256310 8275565 9930678 10400711 14754497 16551130 20801422 24826695 29508994 31202133 44263491 49653390 52003555 62404266 73772485 88526982 104007110 147544970 152624387 156010665 221317455 305248774 312021330 442634910 457873161 634443371 763121935 915746322 1268886742 1526243870 1903330113 2289365805 3172216855 3806660226 4578731610 6344433710 6562848641 9310087607 9516650565 13125697282 18620175214 19033301130 19688545923 27930262821 32814243205 39377091846 46550438035 55860525642 65628486410 93100876070 98442729615 139651314105 196885459230 279302628210 400333767101 800667534202 1201001301303 2001668835505 2402002602606 4003337671010 6005006506515 12010013013030