Search a number
-
+
3130031001132 = 2233731389343333
BaseRepresentation
bin101101100011000100011…
…000101100111000101100
3102002020011020112112122000
4231203010120230320230
5402240300414014012
610353525535052300
7442065041346540
oct55430430547054
912066136475560
103130031001132
11aa749099a482
12426755071090
13199211c6a2a9
14ab6cc551a20
155664517cddc
hex2d8c462ce2c

3130031001132 has 192 divisors, whose sum is σ = 9597970636800. Its totient is φ = 863219047680.

The previous prime is 3130031001109. The next prime is 3130031001137. The reversal of 3130031001132 is 2311001300313.

It is a happy number.

3130031001132 is a `hidden beast` number, since 313 + 0 + 0 + 310 + 0 + 11 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3130031001137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8944938 + ... + 9288270.

It is an arithmetic number, because the mean of its divisors is an integer number (49989430400).

Almost surely, 23130031001132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130031001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798985318400).

3130031001132 is an abundant number, since it is smaller than the sum of its proper divisors (6467939635668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3130031001132 is a wasteful number, since it uses less digits than its factorization.

3130031001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343773 (or 343765 counting only the distinct ones).

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

Adding to 3130031001132 its reverse (2311001300313), we get a palindrome (5441032301445).

The spelling of 3130031001132 in words is "three trillion, one hundred thirty billion, thirty-one million, one thousand, one hundred thirty-two".