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2141301132000 = 25325359480587
BaseRepresentation
bin11111001010001111011…
…111100100101011100000
321120201001221212002021100
4133022033133210223200
5240040341042211000
64315411122354400
7310463303211102
oct37121737445340
97521057762240
102141301132000
11756136735728
122a6bb94bba00
13126c01869654
14758d4c15572
153aa78064a00
hex1f28f7e4ae0

2141301132000 has 144 divisors (see below), whose sum is σ = 7599477845232. Its totient is φ = 571013625600.

The previous prime is 2141301131969. The next prime is 2141301132017. The reversal of 2141301132000 is 2311031412.

2141301132000 is a `hidden beast` number, since 2 + 1 + 41 + 301 + 1 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29704294 + ... + 29776293.

It is an arithmetic number, because the mean of its divisors is an integer number (52774151703).

Almost surely, 22141301132000 is an apocalyptic number.

2141301132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141301132000 is an abundant number, since it is smaller than the sum of its proper divisors (5458176713232).

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

2141301132000 is a wasteful number, since it uses less digits than its factorization.

2141301132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59480618 (or 59480597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2141301132000 its reverse (2311031412), we get a palindrome (2143612163412).

The spelling of 2141301132000 in words is "two trillion, one hundred forty-one billion, three hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 59480587 118961174 178441761 237922348 297402935 356883522 475844696 535325283 594805870 713767044 892208805 951689392 1070650566 1189611740 1427534088 1487014675 1784417610 1903378784 2141301132 2379223480 2676626415 2855068176 2974029350 3568835220 4282602264 4461044025 4758446960 5353252830 5710136352 5948058700 7137670440 7435073375 8565204528 8922088050 9516893920 10706505660 11896117400 13383132075 14275340880 14870146750 17130409056 17844176100 21413011320 22305220125 23792234800 26766264150 28550681760 29740293500 35688352200 42826022640 44610440250 47584469600 53532528300 59480587000 66915660375 71376704400 85652045280 89220880500 107065056600 118961174000 133831320750 142753408800 178441761000 214130113200 237922348000 267662641500 356883522000 428260226400 535325283000 713767044000 1070650566000 2141301132000