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2130142000 = 24537712143
BaseRepresentation
bin111111011110111…
…0110001100110000
312111110020102111011
41332331312030300
513330304021000
6551212200304
7103533623350
oct17675661460
95443212434
102130142000
119a3456238
124b5469094
1327c41266c
14162c94b60
15c701d2ba
hex7ef76330

2130142000 has 160 divisors (see below), whose sum is σ = 5972189184. Its totient is φ = 719712000.

The previous prime is 2130141989. The next prime is 2130142043. The reversal of 2130142000 is 2410312.

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 31 ways as a sum of consecutive naturals, for example, 992929 + ... + 995071.

Almost surely, 22130142000 is an apocalyptic number.

2130142000 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 2130142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986094592).

2130142000 is an abundant number, since it is smaller than the sum of its proper divisors (3842047184).

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

2130142000 is a wasteful number, since it uses less digits than its factorization.

2130142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2130142000 is about 46153.4614086528. The cubic root of 2130142000 is about 1286.6769427740.

Adding to 2130142000 its reverse (2410312), we get a palindrome (2132552312).

The spelling of 2130142000 in words is "two billion, one hundred thirty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 175 200 250 280 284 350 355 400 497 500 560 568 700 710 875 994 1000 1136 1400 1420 1750 1775 1988 2000 2143 2485 2800 2840 3500 3550 3976 4286 4970 5680 7000 7100 7952 8572 8875 9940 10715 12425 14000 14200 15001 17144 17750 19880 21430 24850 28400 30002 34288 35500 39760 42860 49700 53575 60004 62125 71000 75005 85720 99400 107150 120008 124250 142000 150010 152153 171440 198800 214300 240016 248500 267875 300020 304306 375025 428600 497000 535750 600040 608612 750050 760765 857200 994000 1065071 1071500 1200080 1217224 1500100 1521530 1875125 2130142 2143000 2434448 3000200 3043060 3750250 3803825 4260284 4286000 5325355 6000400 6086120 7500500 7607650 8520568 10650710 12172240 15001000 15215300 17041136 19019125 21301420 26626775 30002000 30430600 38038250 42602840 53253550 60861200 76076500 85205680 106507100 133133875 152153000 213014200 266267750 304306000 426028400 532535500 1065071000 2130142000