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12034033110 = 23751150023
BaseRepresentation
bin10110011010100100…
…01100010111010110
31011001200011020000000
423031102030113112
5144121203024420
65310043032130
7604133410431
oct131522142726
934050136000
1012034033110
115115997210
1223ba20b646
13119a21c468
1482235a818
154a6744690
hex2cd48c5d6

12034033110 has 128 divisors (see below), whose sum is σ = 35441003520. Its totient is φ = 2917283040.

The previous prime is 12034033103. The next prime is 12034033129. The reversal of 12034033110 is 1133043021.

12034033110 is a `hidden beast` number, since 12 + 0 + 340 + 3 + 311 + 0 = 666.

12034033110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 215559 + ... + 265581.

It is an arithmetic number, because the mean of its divisors is an integer number (276882840).

Almost surely, 212034033110 is an apocalyptic number.

12034033110 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 12034033110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17720501760).

12034033110 is an abundant number, since it is smaller than the sum of its proper divisors (23406970410).

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

12034033110 is an equidigital number, since it uses as much as digits as its factorization.

12034033110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50062 (or 50044 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12034033110 its reverse (1133043021), we get a palindrome (13167076131).

The spelling of 12034033110 in words is "twelve billion, thirty-four million, thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 7290 8019 8910 10935 13365 16038 21870 24057 26730 40095 48114 50023 80190 100046 120285 150069 240570 250115 300138 450207 500230 550253 750345 900414 1100506 1350621 1500690 1650759 2251035 2701242 2751265 3301518 4051863 4502070 4952277 5502530 6753105 8103726 8253795 9904554 12155589 13506210 14856831 16507590 20259315 24311178 24761385 29713662 36466767 40518630 44570493 49522770 60777945 72933534 74284155 89140986 109400301 121555890 133711479 148568310 182333835 218800602 222852465 267422958 364667670 401134437 445704930 547001505 668557395 802268874 1094003010 1203403311 1337114790 2005672185 2406806622 4011344370 6017016555 12034033110