Search a number
-
+
1132332403200 = 29352263112121
BaseRepresentation
bin10000011110100100010…
…001010100101000000000
311000020202012012000210120
4100132210101110220000
5122023004043400300
62224104125100240
7144544152422505
oct20364421245000
94006665160716
101132332403200
113a7246138079
121635539b7680
1382a1744c2bb
143cb3b5b74ac
151e6c424c3a0
hex107a4454a00

1132332403200 has 240 divisors, whose sum is σ = 3754845585216. Its totient is φ = 300804505600.

The previous prime is 1132332403129. The next prime is 1132332403243. The reversal of 1132332403200 is 23042332311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10043140 + ... + 10155260.

Almost surely, 21132332403200 is an apocalyptic number.

1132332403200 is a gapful number since it is divisible by the number (10) 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 1132332403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877422792608).

1132332403200 is an abundant number, since it is smaller than the sum of its proper divisors (2622513182016).

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

1132332403200 is a wasteful number, since it uses less digits than its factorization.

1132332403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112415 (or 112394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1132332403200 its reverse (23042332311), we get a palindrome (1155374735511).

The spelling of 1132332403200 in words is "one trillion, one hundred thirty-two billion, three hundred thirty-two million, four hundred three thousand, two hundred".