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12111130290 = 2357193035371
BaseRepresentation
bin10110100011110000…
…10010111010110010
31011021001020011110010
423101320102322302
5144300422132130
65321435315350
7606060623520
oct132170227262
934231204403
1012111130290
115155465496
12241bbabb56
1311b01a44ac
1482c6a9310
154ad3c30b0
hex2d1e12eb2

12111130290 has 64 divisors (see below), whose sum is σ = 34967485440. Its totient is φ = 2622559680.

The previous prime is 12111130289. The next prime is 12111130349. The reversal of 12111130290 is 9203111121.

It is a happy number.

12111130290 is digitally balanced in base 2 and base 5, because in such bases 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 (21).

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 31 ways as a sum of consecutive naturals, for example, 1513696 + ... + 1521675.

It is an arithmetic number, because the mean of its divisors is an integer number (546366960).

Almost surely, 212111130290 is an apocalyptic number.

12111130290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12111130290 is an abundant number, since it is smaller than the sum of its proper divisors (22856355150).

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

12111130290 is a wasteful number, since it uses less digits than its factorization.

12111130290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035407.

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 12111130290 in words is "twelve billion, one hundred eleven million, one hundred thirty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 3035371 6070742 9106113 15176855 18212226 21247597 30353710 42495194 45530565 57672049 63742791 91061130 106237985 115344098 127485582 173016147 212475970 288360245 318713955 346032294 403704343 576720490 637427910 807408686 865080735 1211113029 1730161470 2018521715 2422226058 4037043430 6055565145 12111130290