Search a number
-
+
2260131035031 = 332571217267637
BaseRepresentation
bin100000111000111010010…
…011101011011110010111
322000001210102021121111000
4200320322103223132113
5244012222021110111
64450142335514343
7322201103551062
oct40707223533627
98001712247430
102260131035031
117a1575058661
123060413889b3
1313518b4cc33c
147b5689b38d9
153dbd0439c56
hex20e3a4eb797

2260131035031 has 32 divisors (see below), whose sum is σ = 3364145426880. Its totient is φ = 1499652292608.

The previous prime is 2260131035017. The next prime is 2260131035147. The reversal of 2260131035031 is 1305301310622.

2260131035031 is a `hidden beast` number, since 2 + 2 + 601 + 3 + 1 + 0 + 3 + 50 + 3 + 1 = 666.

It is not a de Polignac number, because 2260131035031 - 221 = 2260128937879 is a prime.

It is a super-2 number, since 2×22601310350312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2260131034986 and 2260131035004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260131033031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8310945 + ... + 8578581.

It is an arithmetic number, because the mean of its divisors is an integer number (105129544590).

Almost surely, 22260131035031 is an apocalyptic number.

2260131035031 is a deficient number, since it is larger than the sum of its proper divisors (1104014391849).

2260131035031 is a wasteful number, since it uses less digits than its factorization.

2260131035031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269120 (or 269114 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 2260131035031 its reverse (1305301310622), we get a palindrome (3565432345653).

The spelling of 2260131035031 in words is "two trillion, two hundred sixty billion, one hundred thirty-one million, thirty-five thousand, thirty-one".

Divisors: 1 3 9 27 257 771 1217 2313 3651 6939 10953 32859 267637 312769 802911 938307 2408733 2814921 7226199 8444763 68782709 206348127 325714229 619044381 977142687 1857133143 2931428061 8794284183 83708556853 251125670559 753377011677 2260131035031