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135443631330 = 23357477320887
BaseRepresentation
bin111111000100100010…
…0011100110011100010
3110221121022002100222000
41332021010130303202
54204342032200310
6142115535024430
712533263604430
oct1761104346342
9427538070860
10135443631330
11524944429a7
12222bb96b116
13ca06910367
1467ac44bd50
1537cabeb4c0
hex1f8911cce2

135443631330 has 256 divisors, whose sum is σ = 427358453760. Its totient is φ = 29883354624.

The previous prime is 135443631317. The next prime is 135443631331. The reversal of 135443631330 is 33136344531.

135443631330 is a `hidden beast` number, since 13 + 5 + 4 + 4 + 3 + 631 + 3 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (135443631331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6474147 + ... + 6495033.

It is an arithmetic number, because the mean of its divisors is an integer number (1669368960).

Almost surely, 2135443631330 is an apocalyptic number.

135443631330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135443631330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213679226880).

135443631330 is an abundant number, since it is smaller than the sum of its proper divisors (291914822430).

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

135443631330 is a wasteful number, since it uses less digits than its factorization.

135443631330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21030 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 135443631330 its reverse (33136344531), we get a palindrome (168579975861).

The spelling of 135443631330 in words is "one hundred thirty-five billion, four hundred forty-three million, six hundred thirty-one thousand, three hundred thirty".