Search a number
-
+
2132020013312 = 28719531181473
BaseRepresentation
bin11111000001100110010…
…010111010100100000000
321112211010010210101220202
4133001212102322210000
5234412334110411222
64311234140024332
7310014305050040
oct37014622724400
97484103711822
102132020013312
11752203796902
122a52492320a8
13126082a9c747
1475294343720
153a6d3358892
hex1f0664ba900

2132020013312 has 144 divisors (see below), whose sum is σ = 5216254968960. Its totient is φ = 849298784256.

The previous prime is 2132020013287. The next prime is 2132020013327. The reversal of 2132020013312 is 2133100202312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213808 + ... + 2395280.

It is an arithmetic number, because the mean of its divisors is an integer number (36223992840).

Almost surely, 22132020013312 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 2132020013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608127484480).

2132020013312 is an abundant number, since it is smaller than the sum of its proper divisors (3084234955648).

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

2132020013312 is a wasteful number, since it uses less digits than its factorization.

2132020013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181568 (or 1181554 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2132020013312 its reverse (2133100202312), we get a palindrome (4265120215624).

The spelling of 2132020013312 in words is "two trillion, one hundred thirty-two billion, twenty million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 53 56 64 76 106 112 128 133 152 212 224 256 266 304 371 424 448 532 608 742 848 896 1007 1064 1216 1484 1696 1792 2014 2128 2432 2968 3392 4028 4256 4864 5936 6784 7049 8056 8512 11872 13568 14098 16112 17024 23744 28196 32224 34048 47488 56392 64448 94976 112784 128896 225568 257792 451136 902272 1181473 1804544 2362946 4725892 8270311 9451784 16540622 18903568 22447987 33081244 37807136 44895974 62618069 66162488 75614272 89791948 125236138 132324976 151228544 157135909 179583896 250472276 264649952 302457088 314271818 359167792 438326483 500944552 529299904 628543636 718335584 876652966 1001889104 1058599808 1189743311 1257087272 1436671168 1753305932 2003778208 2117199616 2379486622 2514174544 2873342336 3506611864 4007556416 4758973244 5028349088 5746684672 7013223728 8015112832 8328203177 9517946488 10056698176 14026447456 16030225664 16656406354 19035892976 20113396352 28052894912 33312812708 38071785952 40226792704 56105789824 66625625416 76143571904 112211579648 133251250832 152287143808 266502501664 304574287616 533005003328 1066010006656 2132020013312