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31310000 = 245431101
BaseRepresentation
bin111011101110…
…0000010110000
32011220201020122
41313130002300
531003410000
63035025412
7530062541
oct167340260
964821218
1031310000
1116745737
12a59b268
136643337
1442304c8
152b37085
hex1ddc0b0

31310000 has 100 divisors (see below), whose sum is σ = 79024704. Its totient is φ = 12000000.

The previous prime is 31309987. The next prime is 31310003. The reversal of 31310000 is 1313.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×313100002 = 1960632200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 31310000.

It is not an unprimeable number, because it can be changed into a prime (31310003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309950 + ... + 310050.

Almost surely, 231310000 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 31310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39512352).

31310000 is an abundant number, since it is smaller than the sum of its proper divisors (47714704).

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

31310000 is a wasteful number, since it uses less digits than its factorization.

31310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 31310000 is about 5595.5339334151. The cubic root of 31310000 is about 315.1817209632.

Adding to 31310000 its reverse (1313), we get a palindrome (31311313).

It can be divided in two parts, 31 and 310000, that multiplied together give a square (9610000 = 31002).

The spelling of 31310000 in words is "thirty-one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 101 124 125 155 200 202 248 250 310 400 404 496 500 505 620 625 775 808 1000 1010 1240 1250 1550 1616 2000 2020 2480 2500 2525 3100 3131 3875 4040 5000 5050 6200 6262 7750 8080 10000 10100 12400 12524 12625 15500 15655 19375 20200 25048 25250 31000 31310 38750 40400 50096 50500 62000 62620 63125 77500 78275 101000 125240 126250 155000 156550 202000 250480 252500 310000 313100 391375 505000 626200 782750 1010000 1252400 1565500 1956875 3131000 3913750 6262000 7827500 15655000 31310000