Search a number
-
+
56101010600 = 2352280505053
BaseRepresentation
bin110100001111111000…
…010111110010101000
312100210202221121210102
4310033320113302220
51404343324314400
641434503204532
74024143502445
oct641770276250
9170722847712
1056101010600
1121879615678
12aa58146748
1353a0a4427b
142a02b149cc
1516d52d19d5
hexd0fe17ca8

56101010600 has 24 divisors (see below), whose sum is σ = 130434850110. Its totient is φ = 22440404160.

The previous prime is 56101010597. The next prime is 56101010621. The reversal of 56101010600 is 601010165.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 46567050436 + 9533960164 = 215794^2 + 97642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140252327 + ... + 140252726.

Almost surely, 256101010600 is an apocalyptic number.

56101010600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56101010600 is an abundant number, since it is smaller than the sum of its proper divisors (74333839510).

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

56101010600 is a wasteful number, since it uses less digits than its factorization.

56101010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280505069 (or 280505060 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 56101010600 its reverse (601010165), we get a palindrome (56702020765).

The spelling of 56101010600 in words is "fifty-six billion, one hundred one million, ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 280505053 561010106 1122020212 1402525265 2244040424 2805050530 5610101060 7012626325 11220202120 14025252650 28050505300 56101010600