Search a number
-
+
530431001100 = 22325271113588779
BaseRepresentation
bin1111011100000000010…
…01101100001000001100
31212201010122111201222100
413232000021230020030
532142310314013400
61043402053115100
753215401055230
oct7560011541014
91781118451870
10530431001100
11194a55520a90
1286974328a90
133b0338b9cc0
141b95c9c25c0
15dbe74e6100
hex7b8026c20c

530431001100 has 432 divisors, whose sum is σ = 2232314622720. Its totient is φ = 101740838400.

The previous prime is 530431001083. The next prime is 530431001101. The reversal of 530431001100 is 1100134035.

530431001100 is a `hidden beast` number, since 530 + 4 + 31 + 0 + 0 + 1 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (530431001101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 606511 + ... + 1195289.

It is an arithmetic number, because the mean of its divisors is an integer number (5167394960).

Almost surely, 2530431001100 is an apocalyptic number.

530431001100 is a gapful number since it is divisible by the number (50) 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 530431001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116157311360).

530431001100 is an abundant number, since it is smaller than the sum of its proper divisors (1701883621620).

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

530431001100 is a wasteful number, since it uses less digits than its factorization.

530431001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588830 (or 588820 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 530431001100 its reverse (1100134035), we get a palindrome (531531135135).

The spelling of 530431001100 in words is "five hundred thirty billion, four hundred thirty-one million, one thousand, one hundred".