Search a number
-
+
2001101332230 = 232571113374753241
BaseRepresentation
bin11101000111101010111…
…011110001111100000110
321002022012012012022202200
4131013222323301330012
5230241223420112410
64131143202215330
7264401104450140
oct35075273617406
97068165168680
102001101332230
11701731596010
122839b0954546
1311691a790550
146cbd4c57c90
15370bea283c0
hex1d1eaef1f06

2001101332230 has 1536 divisors, whose sum is σ = 7496336719872. Its totient is φ = 357123686400.

The previous prime is 2001101332229. The next prime is 2001101332301. The reversal of 2001101332230 is 322331011002.

2001101332230 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 101 + 332 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8303324910 + ... + 8303325150.

It is an arithmetic number, because the mean of its divisors is an integer number (4880427552).

Almost surely, 22001101332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001101332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748168359936).

2001101332230 is an abundant number, since it is smaller than the sum of its proper divisors (5495235387642).

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

2001101332230 is a wasteful number, since it uses less digits than its factorization.

2001101332230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2001101332230 its reverse (322331011002), we get a palindrome (2323432343232).

The spelling of 2001101332230 in words is "two trillion, one billion, one hundred one million, three hundred thirty-two thousand, two hundred thirty".