Search a number
-
+
3131101020 = 223552185017
BaseRepresentation
bin1011101010100000…
…1100111101011100
322002012201102010110
42322220030331130
522403030213040
61234410210020
7140406630255
oct27250147534
98065642113
103131101020
1113674745a3
12734723910
133ab8c71c8
14219bb1b2c
15134d3d980
hexbaa0cf5c

3131101020 has 24 divisors (see below), whose sum is σ = 8767083024. Its totient is φ = 834960256.

The previous prime is 3131101019. The next prime is 3131101069. The reversal of 3131101020 is 201011313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3131100987 and 3131101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26092449 + ... + 26092568.

It is an arithmetic number, because the mean of its divisors is an integer number (365295126).

Almost surely, 23131101020 is an apocalyptic number.

3131101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131101020 is an abundant number, since it is smaller than the sum of its proper divisors (5635982004).

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

3131101020 is a wasteful number, since it uses less digits than its factorization.

3131101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52185029 (or 52185027 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3131101020 is about 55956.2420110572. The cubic root of 3131101020 is about 1462.9596901077.

Adding to 3131101020 its reverse (201011313), we get a palindrome (3332112333).

The spelling of 3131101020 in words is "three billion, one hundred thirty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 52185017 104370034 156555051 208740068 260925085 313110102 521850170 626220204 782775255 1043700340 1565550510 3131101020