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12101112213300 = 223252111222334567
BaseRepresentation
bin1011000000011000001001…
…1111101010111100110100
31120211212002022112201212100
42300012002133222330310
53041231034211311200
641423101343422100
72356163561442255
oct260060237527464
946755068481770
1012101112213300
113946064407250
121435339bb4930
1369a18c7680b6
142db9a863ab2c
1515eb9eb04d00
hexb01827eaf34

12101112213300 has 108 divisors (see below), whose sum is σ = 41378469795936. Its totient is φ = 2933602958400.

The previous prime is 12101112213259. The next prime is 12101112213301. The reversal of 12101112213300 is 331221110121.

12101112213300 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 111 + 221 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101112213301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 611157384 + ... + 611177183.

It is an arithmetic number, because the mean of its divisors is an integer number (383133979592).

Almost surely, 212101112213300 is an apocalyptic number.

12101112213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101112213300 is an abundant number, since it is smaller than the sum of its proper divisors (29277357582636).

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

12101112213300 is a wasteful number, since it uses less digits than its factorization.

12101112213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222334598 (or 1222334588 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101112213300 its reverse (331221110121), we get a palindrome (12432333323421).

The spelling of 12101112213300 in words is "twelve trillion, one hundred one billion, one hundred twelve million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1222334567 2444669134 3667003701 4889338268 6111672835 7334007402 11001011103 12223345670 13445680237 14668014804 18335018505 22002022206 24446691340 26891360474 30558364175 36670037010 40337040711 44004044412 53782720948 55005055515 61116728350 67228401185 73340074020 80674081422 91675092525 110010111030 121011122133 122233456700 134456802370 161348162844 183350185050 201685203555 220020222060 242022244266 268913604740 275025277575 336142005925 366700370100 403370407110 484044488532 550050555150 605055610665 672284011850 806740814220 1008426017775 1100101110300 1210111221330 1344568023700 2016852035550 2420222442660 3025278053325 4033704071100 6050556106650 12101112213300