Search a number
-
+
31033321020 = 22355134311423
BaseRepresentation
bin11100111001101110…
…101110011000111100
32222002202200001100000
4130321232232120330
51002024012233040
622131223434300
72146014606402
oct347156563074
988082601300
1031033321020
1112185556449
126020bb5990
132c0749aa60
14170578b472
15c196dd130
hex739bae63c

31033321020 has 288 divisors, whose sum is σ = 107584468992. Its totient is φ = 7460667648.

The previous prime is 31033321019. The next prime is 31033321043. The reversal of 31033321020 is 2012333013.

31033321020 is a `hidden beast` number, since 310 + 3 + 332 + 1 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31033320984 and 31033321002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2711029 + ... + 2722451.

It is an arithmetic number, because the mean of its divisors is an integer number (373557184).

Almost surely, 231033321020 is an apocalyptic number.

31033321020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31033321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53792234496).

31033321020 is an abundant number, since it is smaller than the sum of its proper divisors (76551147972).

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

31033321020 is a wasteful number, since it uses less digits than its factorization.

31033321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31033321020 its reverse (2012333013), we get a palindrome (33045654033).

The spelling of 31033321020 in words is "thirty-one billion, thirty-three million, three hundred twenty-one thousand, twenty".