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2200312333131 = 3111719463201517
BaseRepresentation
bin100000000001001100110…
…101011100001101001011
321210100101112211200222020
4200001030311130031023
5242022214424130011
64402450505255523
7314652535146213
oct40011465341513
97710345750866
102200312333131
11779168a4a540
122b65281945a3
1312c6474abb43
14786d2235243
153c37da9a006
hex2004cd5c34b

2200312333131 has 32 divisors (see below), whose sum is σ = 3388907248128. Its totient is φ = 1255009405440.

The previous prime is 2200312333129. The next prime is 2200312333133. The reversal of 2200312333131 is 1313332130022.

It is an interprime number because it is at equal distance from previous prime (2200312333129) and next prime (2200312333133).

It is not a de Polignac number, because 2200312333131 - 21 = 2200312333129 is a prime.

It is a super-5 number, since 5×22003123331315 (a number of 63 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2200312333133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10817985 + ... + 11019501.

It is an arithmetic number, because the mean of its divisors is an integer number (105903351504).

Almost surely, 22200312333131 is an apocalyptic number.

2200312333131 is a deficient number, since it is larger than the sum of its proper divisors (1188594914997).

2200312333131 is a wasteful number, since it uses less digits than its factorization.

2200312333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221011.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2200312333131 its reverse (1313332130022), we get a palindrome (3513644463153).

The spelling of 2200312333131 in words is "two trillion, two hundred billion, three hundred twelve million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 19463 58389 201517 214093 330871 604551 642279 992613 2216687 3425789 3639581 6650061 10277367 10918743 37683679 113051037 3922125371 11766376113 43143379081 66676131307 129430137243 200028393921 733437444377 2200312333131