Search a number
-
+
3002332001331 = 313671667689261
BaseRepresentation
bin101011101100001000111…
…011101011010000110011
3101122000112200100012212210
4223230020323223100303
5343142233443020311
610215130254223203
7426624404640555
oct53541073532063
911560480305783
103002332001331
11a58311164903
12405a56ab4b03
1318a1709cac50
14a54568d54d5
155316e3373a6
hex2bb08eeb433

3002332001331 has 32 divisors (see below), whose sum is σ = 4378015772928. Its totient is φ = 1818918541440.

The previous prime is 3002332001323. The next prime is 3002332001351. The reversal of 3002332001331 is 1331002332003.

It is not a de Polignac number, because 3002332001331 - 23 = 3002332001323 is a prime.

It is a super-2 number, since 2×30023320013312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3002332001298 and 3002332001307.

It is not an unprimeable number, because it can be changed into a prime (3002332001351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4011241 + ... + 4700501.

It is an arithmetic number, because the mean of its divisors is an integer number (136812992904).

Almost surely, 23002332001331 is an apocalyptic number.

3002332001331 is a deficient number, since it is larger than the sum of its proper divisors (1375683771597).

3002332001331 is a wasteful number, since it uses less digits than its factorization.

3002332001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691011.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3002332001331 its reverse (1331002332003), we get a palindrome (4333334333334).

The spelling of 3002332001331 in words is "three trillion, two billion, three hundred thirty-two million, one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 67 201 871 1667 2613 5001 21671 65013 111689 335067 689261 1451957 2067783 4355871 8960393 26881179 46180487 138541461 600346331 1148998087 1801038993 3446994261 14936975131 44810925393 76982871829 230948615487 1000777333777 3002332001331