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13342011000 = 233537875651
BaseRepresentation
bin11000110110011111…
…01110111001111000
31021102211100101100120
430123033232321320
5204311023323000
610043525333240
7651425136153
oct143317567170
937384311316
1013342011000
11572724337a
122704267220
1313481bb786
14907d56c9a
155314ad6a0
hex31b3eee78

13342011000 has 128 divisors (see below), whose sum is σ = 41687343360. Its totient is φ = 3552720000.

The previous prime is 13342010999. The next prime is 13342011013. The reversal of 13342011000 is 11024331.

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, 2358175 + ... + 2363825.

It is an arithmetic number, because the mean of its divisors is an integer number (325682370).

Almost surely, 213342011000 is an apocalyptic number.

13342011000 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 13342011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20843671680).

13342011000 is an abundant number, since it is smaller than the sum of its proper divisors (28345332360).

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

13342011000 is a wasteful number, since it uses less digits than its factorization.

13342011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6448 counting only the distinct ones).

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

Adding to 13342011000 its reverse (11024331), we get a palindrome (13353035331).

The spelling of 13342011000 in words is "thirteen billion, three hundred forty-two million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 787 1000 1500 1574 2361 3000 3148 3935 4722 5651 6296 7870 9444 11302 11805 15740 16953 18888 19675 22604 23610 28255 31480 33906 39350 45208 47220 56510 59025 67812 78700 84765 94440 98375 113020 118050 135624 141275 157400 169530 196750 226040 236100 282550 295125 339060 393500 423825 472200 565100 590250 678120 706375 787000 847650 1130200 1180500 1412750 1695300 2119125 2361000 2825500 3390600 4238250 4447337 5651000 8476500 8894674 13342011 16953000 17789348 22236685 26684022 35578696 44473370 53368044 66710055 88946740 106736088 111183425 133420110 177893480 222366850 266840220 333550275 444733700 533680440 555917125 667100550 889467400 1111834250 1334201100 1667751375 2223668500 2668402200 3335502750 4447337000 6671005500 13342011000