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2130431000 = 23535936109
BaseRepresentation
bin111111011111011…
…1100110000011000
312111110210002220212
41332332330300120
513330342243000
6551222310252
7103536236045
oct17676746030
95443702825
102130431000
119a3633385
124b5588388
1327c4b4079
14162d2c1cc
15c7078c35
hex7efbcc18

2130431000 has 64 divisors (see below), whose sum is σ = 5069844000. Its totient is φ = 837705600.

The previous prime is 2130430961. The next prime is 2130431033. The reversal of 2130431000 is 1340312.

It is a super-2 number, since 2×21304310002 = 9077472491522000000, which contains 22 as substring.

It is a congruent number.

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, 40946 + ... + 77054.

Almost surely, 22130431000 is an apocalyptic number.

2130431000 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 2130431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534922000).

2130431000 is an abundant number, since it is smaller than the sum of its proper divisors (2939413000).

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

2130431000 is a wasteful number, since it uses less digits than its factorization.

2130431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36189 (or 36175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2130431000 is about 46156.5921619003. The cubic root of 2130431000 is about 1286.7351286948.

Adding to 2130431000 its reverse (1340312), we get a palindrome (2131771312).

The spelling of 2130431000 in words is "two billion, one hundred thirty million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 36109 59000 72218 144436 180545 288872 361090 722180 902725 1444360 1805450 2130431 3610900 4260862 4513625 7221800 8521724 9027250 10652155 17043448 18054500 21304310 36109000 42608620 53260775 85217240 106521550 213043100 266303875 426086200 532607750 1065215500 2130431000