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2002000132320 = 253541101727649
BaseRepresentation
bin11101001000100000100…
…000011011100011100000
321002101111211110002200220
4131020200200123203200
5230300044013213240
64131412310443040
7264432300230436
oct35104040334340
97071454402626
102002000132320
11702052978901
12284001963480
13116a31a56a16
146cc7c380d56
15371238b95d0
hex1d22081b8e0

2002000132320 has 96 divisors (see below), whose sum is σ = 6460112685600. Its totient is φ = 520845557760.

The previous prime is 2002000132313. The next prime is 2002000132369. The reversal of 2002000132320 is 232310002002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002000132320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50844145 + ... + 50883504.

It is an arithmetic number, because the mean of its divisors is an integer number (67292840475).

Almost surely, 22002000132320 is an apocalyptic number.

2002000132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002000132320 is an abundant number, since it is smaller than the sum of its proper divisors (4458112553280).

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

2002000132320 is a wasteful number, since it uses less digits than its factorization.

2002000132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101727708 (or 101727700 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2002000132320 its reverse (232310002002), we get a palindrome (2234310134322).

The spelling of 2002000132320 in words is "two trillion, two billion, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 101727649 203455298 305182947 406910596 508638245 610365894 813821192 1017276490 1220731788 1525914735 1627642384 2034552980 2441463576 3051829470 3255284768 4069105960 4170833609 4882927152 6103658940 8138211920 8341667218 9765854304 12207317880 12512500827 16276423840 16683334436 20854168045 24414635760 25025001654 33366668872 41708336090 48829271520 50050003308 62562504135 66733337744 83416672180 100100006616 125125008270 133466675488 166833344360 200200013232 250250016540 333666688720 400400026464 500500033080 667333377440 1001000066160 2002000132320