Search a number
-
+
13032223023100 = 22521719403474397
BaseRepresentation
bin1011110110100100110100…
…0001100001111111111100
31201010212110000210201001111
42331221031001201333330
53202004443043214400
643414530503451404
72513355430646221
oct275511501417774
951125400721044
1013032223023100
114174a311689a6
121565895156b64
13736c197832a8
14330a977c1948
15178ee85293ba
hexbda4d061ffc

13032223023100 has 72 divisors (see below), whose sum is σ = 31519419971760. Its totient is φ = 4648025041920.

The previous prime is 13032223022999. The next prime is 13032223023103. The reversal of 13032223023100 is 132032223031.

It is a super-2 number, since 2×130322230231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032223023103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201704899 + ... + 201769498.

It is an arithmetic number, because the mean of its divisors is an integer number (437769721830).

Almost surely, 213032223023100 is an apocalyptic number.

13032223023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032223023100 is an abundant number, since it is smaller than the sum of its proper divisors (18487196948660).

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

13032223023100 is a wasteful number, since it uses less digits than its factorization.

13032223023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403474447 (or 403474440 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13032223023100 its reverse (132032223031), we get a palindrome (13164255246131).

The spelling of 13032223023100 in words is "thirteen trillion, thirty-two billion, two hundred twenty-three million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 403474397 806948794 1613897588 2017371985 4034743970 6859064749 7666013543 8069487940 10086859925 13718129498 15332027086 20173719850 27436258996 30664054172 34295323745 38330067715 40347439700 68590647490 76660135430 130322230231 137181294980 153320270860 171476618725 191650338575 260644460462 342953237450 383300677150 521288920924 651611151155 685906474900 766601354300 1303222302310 2606444604620 3258055755775 6516111511550 13032223023100