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12013233002100 = 223252111213457879
BaseRepresentation
bin1010111011010000110001…
…1111000101011001110100
31120112110020212022021001100
42232310030133011121310
53033311100122031400
641314445243130100
72346633053455401
oct256641437053164
946473225267040
1012013233002100
113911868933180
1214202b3513930
13691ac6132145
142d762d27b2a8
1515c759a4a100
hexaed0c7c5674

12013233002100 has 108 divisors (see below), whose sum is σ = 41077976153760. Its totient is φ = 2912298907200.

The previous prime is 12013233002081. The next prime is 12013233002123. The reversal of 12013233002100 is 120033231021.

12013233002100 is a `hidden beast` number, since 1 + 20 + 1 + 323 + 300 + 21 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606719040 + ... + 606738839.

Almost surely, 212013233002100 is an apocalyptic number.

12013233002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013233002100 is an abundant number, since it is smaller than the sum of its proper divisors (29064743151660).

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

12013233002100 is a wasteful number, since it uses less digits than its factorization.

12013233002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213457910 (or 1213457900 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013233002100 its reverse (120033231021), we get a palindrome (12133266233121).

The spelling of 12013233002100 in words is "twelve trillion, thirteen billion, two hundred thirty-three million, two thousand, one 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 1213457879 2426915758 3640373637 4853831516 6067289395 7280747274 10921120911 12134578790 13348036669 14561494548 18201868185 21842241822 24269157580 26696073338 30336446975 36403736370 40044110007 43684483644 53392146676 54605604555 60672893950 66740183345 72807472740 80088220014 91009340925 109211209110 120132330021 121345787900 133480366690 160176440028 182018681850 200220550035 218422418220 240264660042 266960733380 273028022775 333700916725 364037363700 400441100070 480529320084 546056045550 600661650105 667401833450 800882200140 1001102750175 1092112091100 1201323300210 1334803666900 2002205500350 2402646600420 3003308250525 4004411000700 6006616501050 12013233002100