Search a number
-
+
211331120001 = 31741271372941
BaseRepresentation
bin1100010011010001010…
…0001111101110000001
3202012111000210012222120
43010310110033232001
511430301231320001
6241030103154453
721160660611201
oct3046424175601
9665430705876
10211331120001
11816969a9391
1234b5a445a29
1316c0ba1c301
14a32ad46401
15576d11d236
hex313450fb81

211331120001 has 32 divisors (see below), whose sum is σ = 306755237376. Its totient is φ = 128888064000.

The previous prime is 211331119969. The next prime is 211331120017. The reversal of 211331120001 is 100021133112.

It is a happy number.

It is not a de Polignac number, because 211331120001 - 25 = 211331119969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211331120071) 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, 380191 + ... + 753131.

It is an arithmetic number, because the mean of its divisors is an integer number (9586101168).

Almost surely, 2211331120001 is an apocalyptic number.

It is an amenable number.

211331120001 is a deficient number, since it is larger than the sum of its proper divisors (95424117375).

211331120001 is a wasteful number, since it uses less digits than its factorization.

211331120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373273.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211331120001 its reverse (100021133112), we get a palindrome (311352253113).

It can be divided in two parts, 2113311 and 20001, that added together give a palindrome (2133312).

The spelling of 211331120001 in words is "two hundred eleven billion, three hundred thirty-one million, one hundred twenty thousand, one".

Divisors: 1 3 17 41 51 123 271 697 813 2091 4607 11111 13821 33333 188887 372941 566661 1118823 6339997 15290581 19019991 45871743 101067011 259939877 303201033 779819631 1718139187 4143747451 5154417561 12431242353 70443706667 211331120001