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31310020 = 2257243743
BaseRepresentation
bin111011101110…
…0000011000100
32011220201021101
41313130003010
531003410040
63035025444
7530062600
oct167340304
964821241
1031310020
1116745755
12a59b284
136643351
144230500
152b3709a
hex1ddc0c4

31310020 has 72 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 10471104.

The previous prime is 31310017. The next prime is 31310047. The reversal of 31310020 is 2001313.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 31309979 and 31310006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41769 + ... + 42511.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 231310020 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 31310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

31310020 is an abundant number, since it is smaller than the sum of its proper divisors (47059964).

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

31310020 is a wasteful number, since it uses less digits than its factorization.

31310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 31310020 is about 5595.5357205544. The cubic root of 31310020 is about 315.1817880731.

Adding to 31310020 its reverse (2001313), we get a palindrome (33311333).

It can be divided in two parts, 313 and 10020, that multiplied together give a triangular number (3136260 = T2504).

The spelling of 31310020 in words is "thirty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 743 860 980 1204 1486 1505 2107 2972 3010 3715 4214 5201 6020 7430 8428 10402 10535 14860 20804 21070 26005 31949 36407 42140 52010 63898 72814 104020 127796 145628 159745 182035 223643 319490 364070 447286 638980 728140 894572 1118215 1565501 2236430 3131002 4472860 6262004 7827505 15655010 31310020