Search a number
-
+
10213223132 = 2272925150111
BaseRepresentation
bin10011000001100000…
…10110101011011100
3222100202222111021102
421200300112223130
5131404041120012
64405240452232
7511043651510
oct114060265334
928322874242
1010213223132
114371109782
121b9047a078
13c69c243c8
146cc5c8140
153eb97a2c2
hex260c16adc

10213223132 has 48 divisors (see below), whose sum is σ = 21215416320. Its totient is φ = 4209240000.

The previous prime is 10213223101. The next prime is 10213223171. The reversal of 10213223132 is 23132231201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178757 + ... + 228867.

It is an arithmetic number, because the mean of its divisors is an integer number (441987840).

Almost surely, 210213223132 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 10213223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607708160).

10213223132 is an abundant number, since it is smaller than the sum of its proper divisors (11002193188).

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

10213223132 is a wasteful number, since it uses less digits than its factorization.

10213223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50402 (or 50400 counting only the distinct ones).

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

Adding to 10213223132 its reverse (23132231201), we get a palindrome (33345454333).

The spelling of 10213223132 in words is "ten billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 251 406 502 812 1004 1757 3514 7028 7279 14558 29116 50111 50953 100222 101906 200444 203812 350777 701554 1403108 1453219 2906438 5812876 10172533 12577861 20345066 25155722 40690132 50311444 88045027 176090054 352180108 364757969 729515938 1459031876 2553305783 5106611566 10213223132