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2014031203000 = 2353101103193601
BaseRepresentation
bin11101010011101101100…
…111010100101010111000
321010112120022000211000021
4131103231213110222320
5230444213441444000
64141122210220224
7265336366522315
oct35235547245270
97115508024007
102014031203000
11707167121323
122863bab84674
13117bcb47995b
146d6a0169d0c
15375c9c2611a
hex1d4ed9d4ab8

2014031203000 has 128 divisors (see below), whose sum is σ = 4805728237440. Its totient is φ = 789888000000.

The previous prime is 2014031202941. The next prime is 2014031203021. The reversal of 2014031203000 is 3021304102.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 10306200 + ... + 10499800.

It is an arithmetic number, because the mean of its divisors is an integer number (37544751855).

Almost surely, 22014031203000 is an apocalyptic number.

2014031203000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014031203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402864118720).

2014031203000 is an abundant number, since it is smaller than the sum of its proper divisors (2791697034440).

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

2014031203000 is a wasteful number, since it uses less digits than its factorization.

2014031203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193826 (or 193812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2014031203000 its reverse (3021304102), we get a palindrome (2017052507102).

The spelling of 2014031203000 in words is "two trillion, fourteen billion, thirty-one million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 103 125 200 202 206 250 404 412 500 505 515 808 824 1000 1010 1030 2020 2060 2525 2575 4040 4120 5050 5150 10100 10300 10403 12625 12875 20200 20600 20806 25250 25750 41612 50500 51500 52015 83224 101000 103000 104030 193601 208060 260075 387202 416120 520150 774404 968005 1040300 1300375 1548808 1936010 2080600 2600750 3872020 4840025 5201500 7744040 9680050 10403000 19360100 19553701 19940903 24200125 38720200 39107402 39881806 48400250 78214804 79763612 96800500 97768505 99704515 156429608 159527224 193601000 195537010 199409030 391074020 398818060 488842525 498522575 782148040 797636120 977685050 997045150 1955370100 1994090300 2014031203 2444212625 2492612875 3910740200 3988180600 4028062406 4888425250 4985225750 8056124812 9776850500 9970451500 10070156015 16112249624 19553701000 19940903000 20140312030 40280624060 50350780075 80561248120 100701560150 201403120300 251753900375 402806240600 503507800750 1007015601500 2014031203000