Search a number
-
+
1132332002032 = 2472114712721997
BaseRepresentation
bin10000011110100100001…
…111110010101011110000
311000020202011102122111111
4100132210033302223300
5122023003443031112
62224104112323104
7144544146132100
oct20364417625360
94006664378444
101132332002032
113a7245993730
12163553843494
1382a1733b81a
143cb3b511200
151e6c41bd5a7
hex107a43f2af0

1132332002032 has 240 divisors, whose sum is σ = 2865841717248. Its totient is φ = 428362421760.

The previous prime is 1132332002023. The next prime is 1132332002033. The reversal of 1132332002032 is 2302002332311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1132332001994 and 1132332002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132332002033) 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, 51465658 + ... + 51487654.

Almost surely, 21132332002032 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 1132332002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432920858624).

1132332002032 is an abundant number, since it is smaller than the sum of its proper divisors (1733509715216).

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

1132332002032 is a wasteful number, since it uses less digits than its factorization.

1132332002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 22191 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1132332002032 its reverse (2302002332311), we get a palindrome (3434334334343).

The spelling of 1132332002032 in words is "one trillion, one hundred thirty-two billion, three hundred thirty-two million, two thousand, thirty-two".