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12013034334 = 23721011372953
BaseRepresentation
bin10110011000000100…
…00101101101011110
31011000012122101002120
423030002011231132
5144100314044314
65304013003410
7603460051500
oct131402055536
934005571076
1012013034334
115105054554
1223b3183566
131195a79552
1481d651d70
154a49978a9
hex2cc085b5e

12013034334 has 96 divisors (see below), whose sum is σ = 28441064736. Its totient is φ = 3372364800.

The previous prime is 12013034321. The next prime is 12013034381. The reversal of 12013034334 is 43343031021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4066602 + ... + 4069554.

It is an arithmetic number, because the mean of its divisors is an integer number (296261091).

Almost surely, 212013034334 is an apocalyptic number.

12013034334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013034334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220532368).

12013034334 is an abundant number, since it is smaller than the sum of its proper divisors (16428030402).

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

12013034334 is a wasteful number, since it uses less digits than its factorization.

12013034334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12013034334 its reverse (43343031021), we get a palindrome (55356065355).

The spelling of 12013034334 in words is "twelve billion, thirteen million, thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 137 147 202 274 294 303 411 606 707 822 959 1414 1918 2121 2877 2953 4242 4949 5754 5906 6713 8859 9898 13426 13837 14847 17718 20139 20671 27674 29694 40278 41342 41511 62013 83022 96859 124026 144697 193718 289394 290577 298253 404561 434091 581154 596506 678013 809122 868182 894759 1213683 1356026 1789518 2034039 2087771 2427366 2831927 4068078 4175542 5663854 6263313 8495781 12526626 14614397 16991562 19823489 29228794 39646978 40860661 43843191 59470467 81721322 87686382 118940934 122581983 245163966 286024627 572049254 858073881 1716147762 2002172389 4004344778 6006517167 12013034334