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203112132132 = 223713892089889
BaseRepresentation
bin1011110100101001101…
…1010010111000100100
3201102021020022101012110
42331022123102320210
511311433201212012
6233150341521020
720450210431350
oct2751233227044
9642236271173
10203112132132
117915955a128
1233445a13170
13161cc004390
149b8b556460
15543b7b773c
hex2f4a6d2e24

203112132132 has 96 divisors (see below), whose sum is σ = 589850553600. Its totient is φ = 52966121472.

The previous prime is 203112132127. The next prime is 203112132203. The reversal of 203112132132 is 231231211302.

203112132132 is digitally balanced in base 2, because in such base 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 a junction number, because it is equal to n+sod(n) for n = 203112132099 and 203112132108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947757 + ... + 1142132.

It is an arithmetic number, because the mean of its divisors is an integer number (6144276600).

Almost surely, 2203112132132 is an apocalyptic number.

It is an amenable number.

203112132132 is an abundant number, since it is smaller than the sum of its proper divisors (386738421468).

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

203112132132 is a wasteful number, since it uses less digits than its factorization.

203112132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090005 (or 2090003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 203112132132 its reverse (231231211302), we get a palindrome (434343343434).

The spelling of 203112132132 in words is "two hundred three billion, one hundred twelve million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 364 534 546 623 1068 1092 1157 1246 1869 2314 2492 3471 3738 4628 6942 7476 8099 13884 16198 24297 32396 48594 97188 2089889 4179778 6269667 8359556 12539334 14629223 25078668 27168557 29258446 43887669 54337114 58516892 81505671 87775338 108674228 163011342 175550676 186000121 190179899 326022684 372000242 380359798 558000363 570539697 744000484 760719596 1116000726 1141079394 1302000847 2232001452 2282158788 2418001573 2604001694 3906002541 4836003146 5208003388 7254004719 7812005082 9672006292 14508009438 15624010164 16926011011 29016018876 33852022022 50778033033 67704044044 101556066066 203112132132