Search a number
-
+
21032117570320 = 245421624469049
BaseRepresentation
bin1001100100000111010111…
…11001011000101100010000
32202110122120102202112220021
410302003223321120230100
510224042234044222240
6112422004343353224
74300343323433113
oct462035371305420
982418512675807
1021032117570320
11677974207597a
1224381b9752814
13b97421574a4c
14529d6205057a
152671610ae54a
hex1320ebe58b10

21032117570320 has 40 divisors (see below), whose sum is σ = 49015824672600. Its totient is φ = 8392864005120.

The previous prime is 21032117570209. The next prime is 21032117570323. The reversal of 21032117570320 is 2307571123012.

It can be written as a sum of positive squares in 4 ways, for example, as 999296123904 + 20032821446416 = 999648^2 + 4475804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (21032117570323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312200845 + ... + 312268204.

It is an arithmetic number, because the mean of its divisors is an integer number (1225395616815).

Almost surely, 221032117570320 is an apocalyptic number.

21032117570320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21032117570320 is an abundant number, since it is smaller than the sum of its proper divisors (27983707102280).

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

21032117570320 is a wasteful number, since it uses less digits than its factorization.

21032117570320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624469483 (or 624469477 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

Adding to 21032117570320 its reverse (2307571123012), we get a palindrome (23339688693332).

The spelling of 21032117570320 in words is "twenty-one trillion, thirty-two billion, one hundred seventeen million, five hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4210 6736 8420 16840 33680 624469049 1248938098 2497876196 3122345245 4995752392 6244690490 9991504784 12489380980 24978761960 49957523920 262901469629 525802939258 1051605878516 1314507348145 2103211757032 2629014696290 4206423514064 5258029392580 10516058785160 21032117570320