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13322302000 = 245374991907
BaseRepresentation
bin11000110100001001…
…00011001000110000
31021101110021001200121
430122010203020300
5204241002131000
610041543100024
7651065461420
oct143204431060
937343231617
1013322302000
115717101747
1226b9741614
1313440aa947
149054a6480
1552e8b8b1a
hex31a123230

13322302000 has 160 divisors (see below), whose sum is σ = 36908352000. Its totient is φ = 4556102400.

The previous prime is 13322301931. The next prime is 13322302001. The reversal of 13322302000 is 20322331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13322302001) 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, 6985047 + ... + 6986953.

It is an arithmetic number, because the mean of its divisors is an integer number (230677200).

Almost surely, 213322302000 is an apocalyptic number.

13322302000 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 13322302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454176000).

13322302000 is an abundant number, since it is smaller than the sum of its proper divisors (23586050000).

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

13322302000 is a wasteful number, since it uses less digits than its factorization.

13322302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13322302000 its reverse (20322331), we get a palindrome (13342624331).

The spelling of 13322302000 in words is "thirteen billion, three hundred twenty-two million, three hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 499 500 560 700 875 998 1000 1400 1750 1907 1996 2000 2495 2800 3493 3500 3814 3992 4990 6986 7000 7628 7984 9535 9980 12475 13349 13972 14000 15256 17465 19070 19960 24950 26698 27944 30512 34930 38140 39920 47675 49900 53396 55888 62375 66745 69860 76280 87325 95350 99800 106792 124750 133490 139720 152560 174650 190700 199600 213584 238375 249500 266980 279440 333725 349300 381400 436625 476750 499000 533960 667450 698600 762800 873250 951593 953500 998000 1067920 1334900 1397200 1668625 1746500 1903186 1907000 2669800 3337250 3493000 3806372 3814000 4757965 5339600 6661151 6674500 6986000 7612744 9515930 13322302 13349000 15225488 19031860 23789825 26644604 26698000 33305755 38063720 47579650 53289208 66611510 76127440 95159300 106578416 118949125 133223020 166528775 190318600 237898250 266446040 333057550 380637200 475796500 532892080 666115100 832643875 951593000 1332230200 1665287750 1903186000 2664460400 3330575500 6661151000 13322302000