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31021218 = 234533613
BaseRepresentation
bin111011001010…
…1100010100010
32011101001010000
41312111202202
530420134333
63024520430
7524450604
oct166254242
964331100
1031021218
1116568778
12a480116
136571a67
144197174
152acb713
hex1d958a2

31021218 has 40 divisors (see below), whose sum is σ = 70841628. Its totient is φ = 10142496.

The previous prime is 31021171. The next prime is 31021219. The reversal of 31021218 is 81212013.

It can be written as a sum of positive squares in 2 ways, for example, as 28869129 + 2152089 = 5373^2 + 1467^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 31021218.

It is not an unprimeable number, because it can be changed into a prime (31021219) 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, 6780 + ... + 10392.

Almost surely, 231021218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31021218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35420814).

31021218 is an abundant number, since it is smaller than the sum of its proper divisors (39820410).

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

31021218 is a wasteful number, since it uses less digits than its factorization.

31021218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 31021218 is about 5569.6694695466. The cubic root of 31021218 is about 314.2097196621.

It can be divided in two parts, 310 and 21218, that added together give a triangular number (21528 = T207).

The spelling of 31021218 in words is "thirty-one million, twenty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 3613 4293 7226 8586 10839 21678 32517 65034 97551 191489 195102 292653 382978 574467 585306 1148934 1723401 3446802 5170203 10340406 15510609 31021218