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13221231000 = 2335319072311
BaseRepresentation
bin11000101000000101…
…11111100110011000
31021010102002010100020
430110002333212120
5204034113343000
610023532510440
7645430415655
oct142402774630
937112063306
1013221231000
11567504959a
12268b91b420
131329180813
148d5cb6c2c
15525aa1ba0
hex3140bf998

13221231000 has 128 divisors (see below), whose sum is σ = 41289730560. Its totient is φ = 3522288000.

The previous prime is 13221230983. The next prime is 13221231011. The reversal of 13221231000 is 13212231.

It is a super-2 number, since 2×132212310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5719845 + ... + 5722155.

It is an arithmetic number, because the mean of its divisors is an integer number (322576020).

Almost surely, 213221231000 is an apocalyptic number.

13221231000 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 13221231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644865280).

13221231000 is an abundant number, since it is smaller than the sum of its proper divisors (28068499560).

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

13221231000 is a wasteful number, since it uses less digits than its factorization.

13221231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13221231000 its reverse (13212231), we get a palindrome (13234443231).

The spelling of 13221231000 in words is "thirteen billion, two hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1907 2311 3000 3814 4622 5721 6933 7628 9244 9535 11442 11555 13866 15256 18488 19070 22884 23110 27732 28605 34665 38140 45768 46220 47675 55464 57210 57775 69330 76280 92440 95350 114420 115550 138660 143025 173325 190700 228840 231100 238375 277320 286050 288875 346650 381400 462200 476750 572100 577750 693300 715125 866625 953500 1144200 1155500 1386600 1430250 1733250 1907000 2311000 2860500 3466500 4407077 5721000 6933000 8814154 13221231 17628308 22035385 26442462 35256616 44070770 52884924 66106155 88141540 105769848 110176925 132212310 176283080 220353850 264424620 330530775 440707700 528849240 550884625 661061550 881415400 1101769250 1322123100 1652653875 2203538500 2644246200 3305307750 4407077000 6610615500 13221231000