Search a number
-
+
30261081312 = 253272111511291
BaseRepresentation
bin11100001011101100…
…110111010011100000
32220002221120012121100
4130023230313103200
5443433314100222
621522435554400
72120616642600
oct341354672340
986087505540
1030261081312
1111919656310
125a4645ba00
132b134b7597
141670daac00
15bc19eb4ac
hex70bb374e0

30261081312 has 432 divisors, whose sum is σ = 110013531264. Its totient is φ = 7801920000.

The previous prime is 30261081299. The next prime is 30261081343. The reversal of 30261081312 is 21318016203.

It is a happy number.

30261081312 is a `hidden beast` number, since 30 + 2 + 610 + 8 + 1 + 3 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23439387 + ... + 23440677.

It is an arithmetic number, because the mean of its divisors is an integer number (254660952).

Almost surely, 230261081312 is an apocalyptic number.

30261081312 is a gapful number since it is divisible by the number (32) 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 30261081312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55006765632).

30261081312 is an abundant number, since it is smaller than the sum of its proper divisors (79752449952).

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

30261081312 is a wasteful number, since it uses less digits than its factorization.

30261081312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 30261081312 its reverse (21318016203), we get a palindrome (51579097515).

The spelling of 30261081312 in words is "thirty billion, two hundred sixty-one million, eighty-one thousand, three hundred twelve".