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2142120341000 = 23532393135667
BaseRepresentation
bin11111001011000000010…
…100100110111000001000
321120210012001100012202102
4133023000110212320020
5240044030301403000
64320024305052532
7310522511320403
oct37130024467010
97523161305672
102142120341000
117565170a6562
122a71a7927148
131270024b68c3
1475971940d3a
153aac4e333d5
hex1f2c0526e08

2142120341000 has 64 divisors (see below), whose sum is σ = 5230499114880. Its totient is φ = 819593860800.

The previous prime is 2142120340999. The next prime is 2142120341047. The reversal of 2142120341000 is 1430212412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 46544834 + ... + 46590833.

It is an arithmetic number, because the mean of its divisors is an integer number (81726548670).

Almost surely, 22142120341000 is an apocalyptic number.

2142120341000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142120341000 is an abundant number, since it is smaller than the sum of its proper divisors (3088378773880).

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

2142120341000 is a wasteful number, since it uses less digits than its factorization.

2142120341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93135711 (or 93135697 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2142120341000 its reverse (1430212412), we get a palindrome (2143550553412).

The spelling of 2142120341000 in words is "two trillion, one hundred forty-two billion, one hundred twenty million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 93135667 186271334 372542668 465678335 745085336 931356670 1862713340 2142120341 2328391675 3725426680 4284240682 4656783350 8568481364 9313566700 10710601705 11641958375 17136962728 18627133400 21421203410 23283916750 42842406820 46567833500 53553008525 85684813640 93135667000 107106017050 214212034100 267765042625 428424068200 535530085250 1071060170500 2142120341000