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2130042000 = 24353355007
BaseRepresentation
bin111111011110101…
…1101110010010000
312111110001100022110
41332331131302100
513330242321000
6551210105320
7103533025662
oct17675356220
95443040273
102130042000
119a3398099
124b541b240
1327c3a8ca8
14162c6a532
15c6eed850
hex7ef5dc90

2130042000 has 80 divisors (see below), whose sum is σ = 6867274752. Its totient is φ = 568009600.

The previous prime is 2130041999. The next prime is 2130042037. The reversal of 2130042000 is 2400312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171504 + ... + 183503.

Almost surely, 22130042000 is an apocalyptic number.

2130042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130042000 is an abundant number, since it is smaller than the sum of its proper divisors (4737232752).

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

2130042000 is a wasteful number, since it uses less digits than its factorization.

2130042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355033 (or 355017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2130042000 is about 46152.3780535738. The cubic root of 2130042000 is about 1286.6568080118.

Adding to 2130042000 its reverse (2400312), we get a palindrome (2132442312).

The spelling of 2130042000 in words is "two billion, one hundred thirty million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 355007 710014 1065021 1420028 1775035 2130042 2840056 3550070 4260084 5325105 5680112 7100140 8520168 8875175 10650210 14200280 17040336 17750350 21300420 26625525 28400560 35500700 42600840 44375875 53251050 71001400 85201680 88751750 106502100 133127625 142002800 177503500 213004200 266255250 355007000 426008400 532510500 710014000 1065021000 2130042000