Search a number
-
+
30091271135112 = 233211113761441827
BaseRepresentation
bin1101101011110001010111…
…00001101101111110001000
310221112200211102102211011200
412311320223201231332020
512421003410402310422
6143555423352224200
76224010515263065
oct665705341557610
9127480742384150
1030091271135112
119651700094830
12345ba8199b060
1313a3796701085
147605d5013c6c
15372b22a432ac
hex1b5e2b86df88

30091271135112 has 192 divisors, whose sum is σ = 89810872407360. Its totient is φ = 9025974988800.

The previous prime is 30091271135111. The next prime is 30091271135131. The reversal of 30091271135112 is 21153117219003.

30091271135112 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 1 + 27 + 113 + 511 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30091271135111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67885543 + ... + 68327369.

It is an arithmetic number, because the mean of its divisors is an integer number (467764960455).

Almost surely, 230091271135112 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 30091271135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44905436203680).

30091271135112 is an abundant number, since it is smaller than the sum of its proper divisors (59719601272248).

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

30091271135112 is a wasteful number, since it uses less digits than its factorization.

30091271135112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442724 (or 442717 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 30091271135112 in words is "thirty trillion, ninety-one billion, two hundred seventy-one million, one hundred thirty-five thousand, one hundred twelve".