Search a number
-
+
10011333312 = 2632371014651
BaseRepresentation
bin10010101001011100…
…01101001011000000
3221211201002102111200
421110232031023000
5131000400131222
64333225341200
7503042633451
oct112456151300
927751072450
1010011333312
114278155992
121b34937800
13c37157b86
146ad873128
153d8d9aeac
hex254b8d2c0

10011333312 has 168 divisors, whose sum is σ = 29769431952. Its totient is φ = 3214080000.

The previous prime is 10011333287. The next prime is 10011333317. The reversal of 10011333312 is 21333311001.

It is a happy number.

10011333312 is a `hidden beast` number, since 10 + 0 + 11 + 333 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10011333317) 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, 2150187 + ... + 2154837.

Almost surely, 210011333312 is an apocalyptic number.

10011333312 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 10011333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884715976).

10011333312 is an abundant number, since it is smaller than the sum of its proper divisors (19758098640).

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

10011333312 is a wasteful number, since it uses less digits than its factorization.

10011333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10011333312 its reverse (21333311001), we get a palindrome (31344644313).

The spelling of 10011333312 in words is "ten billion, eleven million, three hundred thirty-three thousand, three hundred twelve".