Search a number
-
+
1132020213300 = 2232523724611993
BaseRepresentation
bin10000011110010001101…
…010011010011000110100
311000012221102202010202200
4100132101222122120310
5122021334133311200
62224013133504500
7144533342023044
oct20362152323064
94005842663680
101132020213300
113a70a5998199
12163487342130
1382997873c52
143cb0bd4d724
151e6a6b31800
hex10791a9a634

1132020213300 has 324 divisors, whose sum is σ = 3656489352516. Its totient is φ = 292929177600.

The previous prime is 1132020213277. The next prime is 1132020213323. The reversal of 1132020213300 is 33120202311.

1132020213300 is a `hidden beast` number, since 1 + 1 + 320 + 20 + 21 + 3 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (1132020213277) and next prime (1132020213323).

It can be written as a sum of positive squares in 18 ways, for example, as 208368512676 + 923651700624 = 456474^2 + 961068^2 .

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 107 ways as a sum of consecutive naturals, for example, 567997104 + ... + 567999096.

Almost surely, 21132020213300 is an apocalyptic number.

1132020213300 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 1132020213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828244676258).

1132020213300 is an abundant number, since it is smaller than the sum of its proper divisors (2524469139216).

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

1132020213300 is a wasteful number, since it uses less digits than its factorization.

1132020213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2501 counting only the distinct ones).

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

Adding to 1132020213300 its reverse (33120202311), we get a palindrome (1165140415611).

The spelling of 1132020213300 in words is "one trillion, one hundred thirty-two billion, twenty million, two hundred thirteen thousand, three hundred".