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13322153000 = 2353131636287
BaseRepresentation
bin11000110100000111…
…11110110000101000
31021101102222111022002
430122003332300220
5204240432344000
610041535550132
7651064301132
oct143203766050
937342874262
1013322153000
11571700a802
1226b968b348
131344057b90
14905468052
1552e8898d5
hex31a0fec28

13322153000 has 128 divisors (see below), whose sum is σ = 33783160320. Its totient is φ = 4887993600.

The previous prime is 13322152997. The next prime is 13322153017. The reversal of 13322153000 is 35122331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2115857 + ... + 2122143.

It is an arithmetic number, because the mean of its divisors is an integer number (263930940).

Almost surely, 213322153000 is an apocalyptic number.

13322153000 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 13322153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891580160).

13322153000 is an abundant number, since it is smaller than the sum of its proper divisors (20461007320).

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

13322153000 is a wasteful number, since it uses less digits than its factorization.

13322153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 13322153000 its reverse (35122331), we get a palindrome (13357275331).

The spelling of 13322153000 in words is "thirteen billion, three hundred twenty-two million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 163 200 250 260 325 326 500 520 650 652 815 1000 1300 1304 1625 1630 2119 2600 3250 3260 4075 4238 6287 6500 6520 8150 8476 10595 12574 13000 16300 16952 20375 21190 25148 31435 32600 40750 42380 50296 52975 62870 81500 81731 84760 105950 125740 157175 163000 163462 211900 251480 264875 314350 326924 408655 423800 529750 628700 653848 785875 817310 1024781 1059500 1257400 1571750 1634620 2043275 2049562 2119000 3143500 3269240 4086550 4099124 5123905 6287000 8173100 8198248 10216375 10247810 13322153 16346200 20432750 20495620 25619525 26644306 40865500 40991240 51239050 53288612 66610765 81731000 102478100 106577224 128097625 133221530 204956200 256195250 266443060 333053825 512390500 532886120 666107650 1024781000 1332215300 1665269125 2664430600 3330538250 6661076500 13322153000