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13155014000 = 2453411371171
BaseRepresentation
bin11000100000001100…
…11001010101110000
31020221210110221200202
430100012121111300
5203420140422000
610013205334332
7643664526332
oct142006312560
936853427622
1013155014000
1156407317a7
1226717073a8
131318537b6b
148cb19b452
1551ed71dd5
hex310199570

13155014000 has 160 divisors (see below), whose sum is σ = 32850522432. Its totient is φ = 5091840000.

The previous prime is 13155013999. The next prime is 13155014009. The reversal of 13155014000 is 41055131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155014009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11233415 + ... + 11234585.

Almost surely, 213155014000 is an apocalyptic number.

13155014000 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 13155014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425261216).

13155014000 is an abundant number, since it is smaller than the sum of its proper divisors (19695508432).

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

13155014000 is a wasteful number, since it uses less digits than its factorization.

13155014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 13155014000 its reverse (41055131), we get a palindrome (13196069131).

The spelling of 13155014000 in words is "thirteen billion, one hundred fifty-five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 137 164 200 205 250 274 328 400 410 500 548 656 685 820 1000 1025 1096 1171 1370 1640 2000 2050 2192 2342 2740 3280 3425 4100 4684 5125 5480 5617 5855 6850 8200 9368 10250 10960 11234 11710 13700 16400 17125 18736 20500 22468 23420 27400 28085 29275 34250 41000 44936 46840 48011 54800 56170 58550 68500 82000 89872 93680 96022 112340 117100 137000 140425 146375 160427 192044 224680 234200 240055 274000 280850 292750 320854 384088 449360 468400 480110 561700 585500 641708 702125 768176 802135 960220 1123400 1171000 1200275 1283416 1404250 1604270 1920440 2246800 2342000 2400550 2566832 2808500 3208540 3840880 4010675 4801100 5617000 6001375 6417080 6577507 8021350 9602200 11234000 12002750 12834160 13155014 16042700 19204400 20053375 24005500 26310028 32085400 32887535 40106750 48011000 52620056 64170800 65775070 80213500 96022000 105240112 131550140 160427000 164437675 263100280 320854000 328875350 526200560 657750700 822188375 1315501400 1644376750 2631002800 3288753500 6577507000 13155014000