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12002000113380 = 22353147137291239
BaseRepresentation
bin1010111010100110111011…
…1101000000111011100100
31120111101021000122101112210
42232221232331000323210
53033120044012112010
641305350455243420
72346054515465604
oct256515675007344
946441230571483
1012002000113380
113908024199672
12141a099679570
13690a25ba6724
142d6c854a6c04
1515c2ed806b20
hexaea6ef40ee4

12002000113380 has 96 divisors (see below), whose sum is σ = 35427729899520. Its totient is φ = 3031390535040.

The previous prime is 12002000113303. The next prime is 12002000113381. The reversal of 12002000113380 is 8331100020021.

It is not an unprimeable number, because it can be changed into a prime (12002000113381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68558200 + ... + 68733039.

It is an arithmetic number, because the mean of its divisors is an integer number (369038853120).

Almost surely, 212002000113380 is an apocalyptic number.

12002000113380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002000113380 is an abundant number, since it is smaller than the sum of its proper divisors (23425729786140).

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

12002000113380 is a wasteful number, since it uses less digits than its factorization.

12002000113380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137291329 (or 137291327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 12002000113380 in words is "twelve trillion, two billion, one hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 1410 1457 1860 2820 2914 4371 5828 7285 8742 14570 17484 21855 29140 43710 87420 137291239 274582478 411873717 549164956 686456195 823747434 1372912390 1647494868 2059368585 2745824780 4118737170 4256028409 6452688233 8237474340 8512056818 12768085227 12905376466 17024113636 19358064699 21280142045 25536170454 25810752932 32263441165 38716129398 42560284090 51072340908 63840426135 64526882330 77432258796 85120568180 96790323495 127680852270 129053764660 193580646990 200033335223 255361704540 387161293980 400066670446 600100005669 800133340892 1000166676115 1200200011338 2000333352230 2400400022676 3000500028345 4000666704460 6001000056690 12002000113380