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12114041100 = 2235275768591
BaseRepresentation
bin10110100100000110…
…11001100100001100
31011021020201001022220
423102003121210030
5144302143303400
65322021535340
7606124436040
oct132203314414
934236631286
1012114041100
115157073417
122420b74550
1311b0983375
1482cc26020
154ad79a7a0
hex2d20d990c

12114041100 has 72 divisors (see below), whose sum is σ = 40057102848. Its totient is φ = 2768923200.

The previous prime is 12114041081. The next prime is 12114041113. The reversal of 12114041100 is 114041121.

It is a super-3 number, since 3×121140411003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12114041100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2882196 + ... + 2886395.

Almost surely, 212114041100 is an apocalyptic number.

12114041100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114041100 is an abundant number, since it is smaller than the sum of its proper divisors (27943061748).

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

12114041100 is a wasteful number, since it uses less digits than its factorization.

12114041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768615 (or 5768608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12114041100 its reverse (114041121), we get a palindrome (12228082221).

The spelling of 12114041100 in words is "twelve billion, one hundred fourteen million, forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5768591 11537182 17305773 23074364 28842955 34611546 40380137 57685910 69223092 80760274 86528865 115371820 121140411 144214775 161520548 173057730 201900685 242280822 288429550 346115460 403801370 432644325 484561644 576859100 605702055 807602740 865288650 1009503425 1211404110 1730577300 2019006850 2422808220 3028510275 4038013700 6057020550 12114041100