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203132312121102 = 2371318111346315259
BaseRepresentation
bin101110001011111101101101…
…010011100110111100001110
3222122020021000002111111112020
4232023331231103212330032
5203111104433400333402
62000005410152551010
760533553026123040
oct5613755523467416
9878207002444466
10203132312121102
11597a6a255a8a41
121a9484a03b2466
1389463aa9c08b0
1438239290cba90
151873e0e60e8bc
hexb8bf6d4e6f0e

203132312121102 has 128 divisors (see below), whose sum is σ = 500364049489920. Its totient is φ = 53536289005440.

The previous prime is 203132312121073. The next prime is 203132312121119. The reversal of 203132312121102 is 201121213231302.

203132312121102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13312287549 + ... + 13312302807.

It is an arithmetic number, because the mean of its divisors is an integer number (3909094136640).

Almost surely, 2203132312121102 is an apocalyptic number.

203132312121102 is an abundant number, since it is smaller than the sum of its proper divisors (297231737368818).

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

203132312121102 is a wasteful number, since it uses less digits than its factorization.

203132312121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30558.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 203132312121102 its reverse (201121213231302), we get a palindrome (404253525352404).

The spelling of 203132312121102 in words is "two hundred three trillion, one hundred thirty-two billion, three hundred twelve million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1811 3622 5433 10866 12677 13463 15259 23543 25354 26926 30518 38031 40389 45777 47086 70629 76062 80778 91554 94241 106813 141258 164801 175019 188482 198367 213626 282723 320439 329602 350038 396734 494403 525057 565446 595101 640878 988806 1050114 1190202 1225133 1388569 2450266 2777138 3675399 4165707 7350798 8331414 24381493 27634049 48762986 55268098 73144479 82902147 146288958 165804294 170670451 193438343 205431917 316959409 341340902 359242637 386876686 410863834 512011353 580315029 616295751 633918818 718485274 950878227 1024022706 1077727911 1160630058 1232591502 1438023419 1901756454 2155455822 2218715863 2514698459 2670614921 2876046838 4314070257 4437431726 5029396918 5341229842 6656147589 7544095377 8011844763 8628140514 13312295178 15088190754 16023689526 18694304447 37388608894 56082913341 112165826682 372037201687 744074403374 1116111605061 2232223210122 2604260411809 4836483621931 5208520823618 7812781235427 9672967243862 14509450865793 15625562470854 29018901731586 33855385353517 67710770707034 101566156060551 203132312121102