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31312020 = 22351015167
BaseRepresentation
bin111011101110…
…0100010010100
32011220211000110
41313130202110
531003441040
63035043020
7530101455
oct167344224
964824013
1031312020
1116747203
12a5a0470
13664422c
14423112c
152b37980
hex1ddc894

31312020 has 48 divisors (see below), whose sum is σ = 88558848. Its totient is φ = 8265600.

The previous prime is 31312007. The next prime is 31312033. The reversal of 31312020 is 2021313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31312007) and next prime (31312033).

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 = 31311987 and 31312005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477 + ... + 8643.

It is an arithmetic number, because the mean of its divisors is an integer number (1844976).

Almost surely, 231312020 is an apocalyptic number.

31312020 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 31312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44279424).

31312020 is an abundant number, since it is smaller than the sum of its proper divisors (57246828).

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

31312020 is a wasteful number, since it uses less digits than its factorization.

31312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31312020 is about 5595.7144315985. The cubic root of 31312020 is about 315.1884989190.

Adding to 31312020 its reverse (2021313), we get a palindrome (33333333).

It can be divided in two parts, 3131 and 2020, that added together give a triangular number (5151 = T101).

The spelling of 31312020 in words is "thirty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 5167 6060 10334 15501 20668 25835 31002 51670 62004 77505 103340 155010 310020 521867 1043734 1565601 2087468 2609335 3131202 5218670 6262404 7828005 10437340 15656010 31312020