Search a number
-
+
20000131330311 = 32111960791749089
BaseRepresentation
bin1001000110000101001001…
…01110010011000100000111
32121210222211112120202222100
410203002210232103010013
510110140232110032221
6110311533345003143
74132650620223036
oct443024456230407
977728745522870
1020000131330311
11641100a808490
1222b01ab6234b3
13b21009576b92
144d202388671d
1524a3b1678926
hex1230a4b93107

20000131330311 has 48 divisors (see below), whose sum is σ = 33179537664000. Its totient is φ = 11481433413120.

The previous prime is 20000131330271. The next prime is 20000131330321. The reversal of 20000131330311 is 11303313100002.

It is a happy number.

20000131330311 is a `hidden beast` number, since 20 + 0 + 0 + 0 + 1 + 3 + 1 + 330 + 311 = 666.

It is not a de Polignac number, because 20000131330311 - 211 = 20000131328263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000131330321) 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, 10560055 + ... + 12309143.

It is an arithmetic number, because the mean of its divisors is an integer number (691240368000).

Almost surely, 220000131330311 is an apocalyptic number.

20000131330311 is a deficient number, since it is larger than the sum of its proper divisors (13179406333689).

20000131330311 is a wasteful number, since it uses less digits than its factorization.

20000131330311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755204 (or 1755201 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20000131330311 its reverse (11303313100002), we get a palindrome (31303444430313).

The spelling of 20000131330311 in words is "twenty trillion, one hundred thirty-one million, three hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 6079 18237 54711 66869 115501 200607 346503 601821 1039509 1270511 1749089 3811533 5247267 11434599 15741801 19239979 33232691 57719937 99698073 173159811 299094219 365559601 1096678803 3290036409 10632712031 31898136093 95694408279 116959832341 202021528589 350879497023 606064585767 1052638491069 1818193757301 2222236814479 6666710443437 20000131330311