Search a number
-
+
10032443322 = 23111011519967
BaseRepresentation
bin10010101011111101…
…01110111110111010
3221220011210220222220
421111332232332322
5131021301141242
64335302024510
7503420234616
oct112576567672
927804726886
1010032443322
114289064180
121b3ba18136
13c3b6395c5
146b25aa346
153dab6abec
hex255faefba

10032443322 has 64 divisors (see below), whose sum is σ = 22254317568. Its totient is φ = 2989800000.

The previous prime is 10032443303. The next prime is 10032443413. The reversal of 10032443322 is 22334423001.

It is a junction number, because it is equal to n+sod(n) for n = 10032443292 and 10032443301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001583 + ... + 1011549.

It is an arithmetic number, because the mean of its divisors is an integer number (347723712).

Almost surely, 210032443322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032443322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127158784).

10032443322 is an abundant number, since it is smaller than the sum of its proper divisors (12221874246).

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

10032443322 is a wasteful number, since it uses less digits than its factorization.

10032443322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10032443322 its reverse (22334423001), we get a palindrome (32366866323).

It can be divided in two parts, 10032 and 443322, that added together give a palindrome (453354).

The spelling of 10032443322 in words is "ten billion, thirty-two million, four hundred forty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 151 202 302 303 453 606 906 1111 1661 2222 3322 3333 4983 6666 9966 9967 15251 19934 29901 30502 45753 59802 91506 109637 167761 219274 328911 335522 503283 657822 1006566 1006667 1505017 2013334 3010034 3020001 4515051 6040002 9030102 11073337 16555187 22146674 33110374 33220011 49665561 66440022 99331122 152006717 304013434 456020151 912040302 1672073887 3344147774 5016221661 10032443322