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12111110010 = 2335791813137
BaseRepresentation
bin10110100011110000…
…01101111101111010
31011021001012010122000
423101320031331322
5144300421010020
65321435041430
7606060510426
oct132170157572
934231163560
1012111110010
11515545122a
12241bba0276
1311b01981ac
1482c6a1b86
154ad3bc090
hex2d1e0df7a

12111110010 has 128 divisors (see below), whose sum is σ = 32896281600. Its totient is φ = 3170119680.

The previous prime is 12111109897. The next prime is 12111110027. The reversal of 12111110010 is 1001111121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12111109974 and 12111110001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3859162 + ... + 3862298.

It is an arithmetic number, because the mean of its divisors is an integer number (257002200).

Almost surely, 212111110010 is an apocalyptic number.

12111110010 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 12111110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448140800).

12111110010 is an abundant number, since it is smaller than the sum of its proper divisors (20785171590).

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

12111110010 is a wasteful number, since it uses less digits than its factorization.

12111110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12111110010 its reverse (1001111121), we get a palindrome (13112221131).

The spelling of 12111110010 in words is "twelve billion, one hundred eleven million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 181 237 270 362 395 474 543 711 790 905 1086 1185 1422 1629 1810 2133 2370 2715 3137 3258 3555 4266 4887 5430 6274 7110 8145 9411 9774 10665 14299 15685 16290 18822 21330 24435 28233 28598 31370 42897 47055 48870 56466 71495 84699 85794 94110 128691 141165 142990 169398 214485 247823 257382 282330 386073 423495 428970 495646 567797 643455 743469 772146 846990 1135594 1239115 1286910 1486938 1703391 1930365 2230407 2478230 2838985 3406782 3717345 3860730 4460814 5110173 5677970 6691221 7434690 8516955 10220346 11152035 13382442 15330519 17033910 22304070 25550865 30661038 33456105 44855963 51101730 66912210 76652595 89711926 134567889 153305190 224279815 269135778 403703667 448559630 672839445 807407334 1211111001 1345678890 2018518335 2422222002 4037036670 6055555005 12111110010