Search a number
-
+
3000133211131 = 723137136017283
BaseRepresentation
bin101011101010000101110…
…111111101001111111011
3101121210212102221002202201
4223222011313331033323
5343123233100224011
610214124150411031
7426516045350530
oct53520567751773
911553772832681
103000133211131
11a57392a91221
12405542660a77
13189bb0301164
14a52c8890d87
15530912a8cc1
hex2ba85dfd3fb

3000133211131 has 16 divisors (see below), whose sum is σ = 3603913956864. Its totient is φ = 2441782246464.

The previous prime is 3000133211129. The next prime is 3000133211189. The reversal of 3000133211131 is 1311123310003.

It is a cyclic number.

It is not a de Polignac number, because 3000133211131 - 21 = 3000133211129 is a prime.

It is a super-2 number, since 2×30001332111312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3000133211099 and 3000133211108.

It is not an unprimeable number, because it can be changed into a prime (3000133221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67986585 + ... + 68030698.

It is an arithmetic number, because the mean of its divisors is an integer number (225244622304).

Almost surely, 23000133211131 is an apocalyptic number.

3000133211131 is a deficient number, since it is larger than the sum of its proper divisors (603780745733).

3000133211131 is a wasteful number, since it uses less digits than its factorization.

3000133211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136017450.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3000133211131 its reverse (1311123310003), we get a palindrome (4311256521134).

It can be divided in two parts, 3000133 and 211131, that added together give a square (3211264 = 17922).

The spelling of 3000133211131 in words is "three trillion, one hundred thirty-three million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 23 137 161 959 3151 22057 136017283 952120981 3128397509 18634367771 21898782563 130440574397 428590458733 3000133211131