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13120133022000 = 243253728896279
BaseRepresentation
bin1011111011101100010011…
…0111100100000100110000
31201110021100121222100122200
42332323010313210010300
53204430013023201000
643523150024103200
72522620061422134
oct276730467440460
951407317870580
1013120133022000
1141a9243060254
12157a92a004b00
137422b95a8914
14335036cb73c4
1517b441166500
hexbeec4de4130

13120133022000 has 120 divisors (see below), whose sum is σ = 45824251331040. Its totient is φ = 3498702134400.

The previous prime is 13120133021959. The next prime is 13120133022023. The reversal of 13120133022000 is 22033102131.

13120133022000 is a `hidden beast` number, since 1 + 312 + 0 + 1 + 330 + 2 + 20 + 0 + 0 = 666.

13120133022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364430140 + ... + 364466139.

It is an arithmetic number, because the mean of its divisors is an integer number (381868761092).

Almost surely, 213120133022000 is an apocalyptic number.

13120133022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120133022000 is an abundant number, since it is smaller than the sum of its proper divisors (32704118309040).

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

13120133022000 is a wasteful number, since it uses less digits than its factorization.

13120133022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728896308 (or 728896289 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13120133022000 its reverse (22033102131), we get a palindrome (13142166124131).

The spelling of 13120133022000 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty-three million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 728896279 1457792558 2186688837 2915585116 3644481395 4373377674 5831170232 6560066511 7288962790 8746755348 10933444185 11662340464 13120133022 14577925580 17493510696 18222406975 21866888370 26240266044 29155851160 32800332555 34987021392 36444813950 43733776740 52480532088 54667220925 58311702320 65600665110 72889627900 87467553480 91112034875 104961064176 109334441850 131201330220 145779255800 164001662775 174935106960 182224069750 218668883700 262402660440 273336104625 291558511600 328003325550 364448139500 437337767400 524805320880 546672209250 656006651100 728896279000 820008313875 874675534800 1093344418500 1312013302200 1457792558000 1640016627750 2186688837000 2624026604400 3280033255500 4373377674000 6560066511000 13120133022000