Search a number
-
+
2131323203212 = 2274734714333257
BaseRepresentation
bin11111000000111100110…
…000110010111010001100
321112202022120121210011021
4133000330300302322030
5234404422220000322
64311041045003524
7306661114212520
oct37007460627214
97482276553137
102131323203212
11751986426095
122a50939b35a4
13125ca1609288
1475229999d80
153a6920b64c7
hex1f03cc32e8c

2131323203212 has 96 divisors (see below), whose sum is σ = 4370274736128. Its totient is φ = 890517771264.

The previous prime is 2131323203173. The next prime is 2131323203213. The reversal of 2131323203212 is 2123023231312.

It is not an unprimeable number, because it can be changed into a prime (2131323203213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654380688 + ... + 654383944.

It is an arithmetic number, because the mean of its divisors is an integer number (45523695168).

Almost surely, 22131323203212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131323203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185137368064).

2131323203212 is an abundant number, since it is smaller than the sum of its proper divisors (2238951532916).

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

2131323203212 is a wasteful number, since it uses less digits than its factorization.

2131323203212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2131323203212 its reverse (2123023231312), we get a palindrome (4254346434524).

The spelling of 2131323203212 in words is "two trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 47 94 188 329 347 658 694 1316 1388 1433 2429 2866 3257 4858 5732 6514 9716 10031 13028 16309 20062 22799 32618 40124 45598 65236 67351 91196 114163 134702 153079 228326 269404 306158 456652 471457 497251 612316 942914 994502 1071553 1130179 1885828 1989004 2143106 2260358 3480757 4286212 4520716 4667281 6961514 7911253 9334562 13923028 15822506 18669124 23370797 31645012 32670967 46741594 53118413 65341934 93483188 106236826 130683868 163595579 212473652 219362207 327191158 371828891 438724414 654382316 743657782 877448828 1487315564 1535535449 1619546507 3071070898 3239093014 6142141796 6478186028 11336825549 22673651098 45347302196 76118685829 152237371658 304474743316 532830800803 1065661601606 2131323203212