Search a number
-
+
31015045152 = 2534713235717
BaseRepresentation
bin11100111000101001…
…000000100000100000
32222001111021112120000
4130320221000200200
51002004322421102
622125332020000
72145403351110
oct347051004040
988044245500
1031015045152
1112176203523
126016a61600
132c0376c330
141703191040
15c17ccd01c
hex738a40820

31015045152 has 480 divisors, whose sum is σ = 117165388032. Its totient is φ = 7822780416.

The previous prime is 31015045151. The next prime is 31015045153. The reversal of 31015045152 is 25154051013.

31015045152 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 504 + 5 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (31015045151) and next prime (31015045153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31015045151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5422198 + ... + 5427914.

Almost surely, 231015045152 is an apocalyptic number.

31015045152 is a gapful number since it is divisible by the number (32) 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 31015045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582694016).

31015045152 is an abundant number, since it is smaller than the sum of its proper divisors (86150342880).

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

31015045152 is a wasteful number, since it uses less digits than its factorization.

31015045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 31015045152 its reverse (25154051013), we get a palindrome (56169096165).

It can be divided in two parts, 3101 and 5045152, that added together give a triangular number (5048253 = T3177).

The spelling of 31015045152 in words is "thirty-one billion, fifteen million, forty-five thousand, one hundred fifty-two".