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13312020 = 22351731421
BaseRepresentation
bin110010110010…
…000000010100
3221001022122210
4302302000110
511401441040
61153153420
7221102361
oct62620024
927038583
1013312020
117572577
12455b870
1329b1247
141aa7468
15127e480
hexcb2014

13312020 has 96 divisors (see below), whose sum is σ = 40836096. Its totient is φ = 3225600.

The previous prime is 13312001. The next prime is 13312021. The reversal of 13312020 is 2021331.

It is a happy number.

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 = 13311987 and 13312005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31410 + ... + 31830.

It is an arithmetic number, because the mean of its divisors is an integer number (425376).

Almost surely, 213312020 is an apocalyptic number.

13312020 is a gapful number since it is divisible by the number (10) 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 13312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418048).

13312020 is an abundant number, since it is smaller than the sum of its proper divisors (27524076).

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

13312020 is a wasteful number, since it uses less digits than its factorization.

13312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

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

The square root of 13312020 is about 3648.5641011225. The cubic root of 13312020 is about 236.9998041623. Note that the first 3 decimals are identical.

Adding to 13312020 its reverse (2021331), we get a palindrome (15333351).

The spelling of 13312020 in words is "thirteen million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 421 465 510 527 620 842 930 1020 1054 1263 1581 1684 1860 2105 2108 2526 2635 3162 4210 5052 5270 6315 6324 7157 7905 8420 10540 12630 13051 14314 15810 21471 25260 26102 28628 31620 35785 39153 42942 52204 65255 71570 78306 85884 107355 130510 143140 156612 195765 214710 221867 261020 391530 429420 443734 665601 783060 887468 1109335 1331202 2218670 2662404 3328005 4437340 6656010 13312020