Search a number
-
+
10311132 = 22313157421
BaseRepresentation
bin100111010101…
…010111011100
3201101212012210
4213111113130
510114424012
61005000420
7153433416
oct47252734
921355183
1010311132
1159029a7
123553110
1321a0380
1415259b6
15d8a23c
hex9d55dc

10311132 has 48 divisors (see below), whose sum is σ = 26136992. Its totient is φ = 3144960.

The previous prime is 10311101. The next prime is 10311139. The reversal of 10311132 is 23111301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24282 + ... + 24702.

Almost surely, 210311132 is an apocalyptic number.

10311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068496).

10311132 is an abundant number, since it is smaller than the sum of its proper divisors (15825860).

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

10311132 is a wasteful number, since it uses less digits than its factorization.

10311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10311132 is about 3211.0951402909. The cubic root of 10311132 is about 217.6550671168.

Adding to 10311132 its reverse (23111301), we get a palindrome (33422433).

The spelling of 10311132 in words is "ten million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 421 471 628 842 942 1263 1684 1884 2041 2526 4082 5052 5473 6123 8164 10946 12246 16419 21892 24492 32838 65676 66097 132194 198291 264388 396582 793164 859261 1718522 2577783 3437044 5155566 10311132