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13333243121000 = 2353119319130069
BaseRepresentation
bin1100001000000110001100…
…1110000100110101101000
31202012122102122020002001022
43002001203032010311220
53221422440214333000
644205112441112012
72544203123400125
oct302014316046550
952178378202038
1013333243121000
114280662165910
1215b40a4188608
1375941ca37c0a
143414921c374c
15181c65539585
hexc2063384d68

13333243121000 has 128 divisors (see below), whose sum is σ = 34040047392000. Its totient is φ = 4847894496000.

The previous prime is 13333243120877. The next prime is 13333243121021. The reversal of 13333243121000 is 12134233331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102443966 + ... + 102574034.

It is an arithmetic number, because the mean of its divisors is an integer number (265937870250).

Almost surely, 213333243121000 is an apocalyptic number.

13333243121000 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 13333243121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020023696000).

13333243121000 is an abundant number, since it is smaller than the sum of its proper divisors (20706804271000).

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

13333243121000 is a wasteful number, since it uses less digits than its factorization.

13333243121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139420 (or 139406 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13333243121000 its reverse (12134233331), we get a palindrome (13345377354331).

The spelling of 13333243121000 in words is "thirteen trillion, three hundred thirty-three billion, two hundred forty-three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 9319 11000 18638 37276 46595 74552 93190 102509 130069 186380 205018 232975 260138 372760 410036 465950 512545 520276 650345 820072 931900 1025090 1040552 1164875 1300690 1430759 1863800 2050180 2329750 2562725 2601380 2861518 3251725 4100360 4659500 5125450 5202760 5723036 6503450 7153795 9319000 10250900 11446072 12813625 13006900 14307590 16258625 20501800 25627250 26013800 28615180 32517250 35768975 51254500 57230360 65034500 71537950 102509000 130069000 143075900 178844875 286151800 357689750 715379500 1212113011 1430759000 2424226022 4848452044 6060565055 9696904088 12121130110 13333243121 24242260220 26666486242 30302825275 48484520440 53332972484 60605650550 66666215605 106665944968 121211301100 133332431210 151514126375 242422602200 266664862420 303028252750 333331078025 533329724840 606056505500 666662156050 1212113011000 1333324312100 1666655390125 2666648624200 3333310780250 6666621560500 13333243121000