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12113434140 = 22353157711287
BaseRepresentation
bin10110100100000010…
…00101011000011100
31011021012120012201220
423102001011120130
5144302014343030
65322000533340
7606116330343
oct132201053034
934235505656
1012113434140
1151567993a5
122420921250
1311b0800012
1482cb08b5a
154ad6caa10
hex2d204561c

12113434140 has 96 divisors (see below), whose sum is σ = 35075518464. Its totient is φ = 3120353280.

The previous prime is 12113434129. The next prime is 12113434141. The reversal of 12113434140 is 4143431121.

It is a self number, because there is not a number n which added to its sum of digits gives 12113434140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113434141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067577 + ... + 1078863.

It is an arithmetic number, because the mean of its divisors is an integer number (365369984).

Almost surely, 212113434140 is an apocalyptic number.

12113434140 is a gapful number since it is divisible by the number (10) 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 12113434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537759232).

12113434140 is an abundant number, since it is smaller than the sum of its proper divisors (22962084324).

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

12113434140 is a wasteful number, since it uses less digits than its factorization.

12113434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12113434140 its reverse (4143431121), we get a palindrome (16256865261).

The spelling of 12113434140 in words is "twelve billion, one hundred thirteen million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 577 620 930 1154 1731 1860 2308 2885 3462 5770 6924 8655 11287 11540 17310 17887 22574 33861 34620 35774 45148 53661 56435 67722 71548 89435 107322 112870 135444 169305 178870 214644 225740 268305 338610 349897 357740 536610 677220 699794 1049691 1073220 1399588 1749485 2099382 3498970 4198764 5248455 6512599 6997940 10496910 13025198 19537797 20993820 26050396 32562995 39075594 65125990 78151188 97688985 130251980 195377970 201890569 390755940 403781138 605671707 807562276 1009452845 1211343414 2018905690 2422686828 3028358535 4037811380 6056717070 12113434140