Search a number
-
+
1034035342212 = 2231923982323057
BaseRepresentation
bin11110000110000010100…
…11110010101110000100
310122212000200220221201010
433003001103302232010
5113420201021422322
62111010154002220
7134464234246665
oct17030123625604
93585020827633
101034035342212
11369593aa2294
121484a0416370
13766806a7aa2
14380947a536c
151bd6e79720c
hexf0c14f2b84

1034035342212 has 96 divisors (see below), whose sum is σ = 2553572044800. Its totient is φ = 324762020352.

The previous prime is 1034035342169. The next prime is 1034035342237. The reversal of 1034035342212 is 2122435304301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034035342212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44835388 + ... + 44858444.

It is an arithmetic number, because the mean of its divisors is an integer number (26599708800).

Almost surely, 21034035342212 is an apocalyptic number.

1034035342212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034035342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276786022400).

1034035342212 is an abundant number, since it is smaller than the sum of its proper divisors (1519536702588).

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

1034035342212 is a wasteful number, since it uses less digits than its factorization.

1034035342212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24145 (or 24143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1034035342212 in words is "one trillion, thirty-four billion, thirty-five million, three hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 478 717 823 956 1434 1646 2469 2868 3292 4541 4938 9082 9876 13623 15637 18164 23057 27246 31274 46114 46911 54492 62548 69171 92228 93822 138342 187644 196697 276684 393394 438083 590091 786788 876166 1180182 1314249 1752332 2360364 2628498 3737243 5256996 5510623 7474486 11021246 11211729 14948972 16531869 18975911 22042492 22423458 33063738 37951822 44846916 56927733 66127476 75903644 104701837 113855466 209403674 227710932 314105511 360542309 418807348 628211022 721084618 1081626927 1256422044 1442169236 2163253854 4326507708 4535242729 9070485458 13605728187 18140970916 27211456374 54422912748 86169611851 172339223702 258508835553 344678447404 517017671106 1034035342212