Search a number
-
+
1200320111331 = 321147713633337
BaseRepresentation
bin10001011101111000101…
…001110110001011100011
311020202020101001110011200
4101131320221312023203
5124131223422030311
62315230333412243
7152502023414145
oct21357051661343
94222211043150
101200320111331
11423064457510
1217476893a083
1389260a077b3
144214ac54c95
1521352d6d556
hex11778a762e3

1200320111331 has 48 divisors (see below), whose sum is σ = 1958863315968. Its totient is φ = 701960515200.

The previous prime is 1200320111329. The next prime is 1200320111339. The reversal of 1200320111331 is 1331110230021.

1200320111331 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 320 + 1 + 11 + 331 = 666.

It is not a de Polignac number, because 1200320111331 - 21 = 1200320111329 is a prime.

It is a super-2 number, since 2×12003201113312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1200320111339) 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, 1486306 + ... + 2147031.

It is an arithmetic number, because the mean of its divisors is an integer number (40809652416).

Almost surely, 21200320111331 is an apocalyptic number.

1200320111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1200320111331 is a deficient number, since it is larger than the sum of its proper divisors (758543204637).

1200320111331 is a wasteful number, since it uses less digits than its factorization.

1200320111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633472 (or 3633469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1200320111331 its reverse (1331110230021), we get a palindrome (2531430341352).

The spelling of 1200320111331 in words is "one trillion, two hundred billion, three hundred twenty million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 47 71 99 141 213 423 517 639 781 1551 2343 3337 4653 7029 10011 30033 36707 110121 330363 3633337 10900011 32700033 39966707 119900121 170766839 257966927 359700363 512300517 773900781 1536901551 1878435229 2321702343 2837636197 5635305687 8512908591 12124445569 16905917061 25538725773 36373336707 109120010121 133368901259 400106703777 1200320111331