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13312031220 = 22325176171317
BaseRepresentation
bin11000110010111010…
…10111100111110100
31021100201221020211100
430121131113213310
5204230334444340
610040535010100
7650612253435
oct143135274764
937321836740
1013312031220
1157113270a4
1226b6209930
131341c22a67
14903d9148c
1552da3a830
hex3197579f4

13312031220 has 144 divisors (see below), whose sum is σ = 43456624848. Its totient is φ = 3286241280.

The previous prime is 13312031219. The next prime is 13312031267. The reversal of 13312031220 is 2213021331.

13312031220 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 312 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1636364304 + 11675666916 = 40452^2 + 108054^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13312031193 and 13312031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151002 + ... + 222318.

It is an arithmetic number, because the mean of its divisors is an integer number (301782117).

Almost surely, 213312031220 is an apocalyptic number.

13312031220 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 13312031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728312424).

13312031220 is an abundant number, since it is smaller than the sum of its proper divisors (30144593628).

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

13312031220 is a wasteful number, since it uses less digits than its factorization.

13312031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71410 (or 71405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13312031220 its reverse (2213021331), we get a palindrome (15525052551).

The spelling of 13312031220 in words is "thirteen billion, three hundred twelve million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 549 610 612 732 765 915 1020 1037 1098 1220 1530 1830 2074 2196 2745 3060 3111 3660 4148 5185 5490 6222 9333 10370 10980 12444 15555 18666 20740 31110 37332 46665 62220 71317 93330 142634 186660 213951 285268 356585 427902 641853 713170 855804 1069755 1212389 1283706 1426340 2139510 2424778 2567412 3209265 3637167 4279020 4350337 4849556 6061945 6418530 7274334 8700674 10911501 12123890 12837060 13051011 14548668 17401348 18185835 21751685 21823002 24247780 26102022 36371670 39153033 43503370 43646004 52204044 54557505 65255055 72743340 73955729 78306066 87006740 109115010 130510110 147911458 156612132 195765165 218230020 221867187 261020220 295822916 369778645 391530330 443734374 665601561 739557290 783060660 887468748 1109335935 1331203122 1479114580 2218671870 2662406244 3328007805 4437343740 6656015610 13312031220