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2130002000 = 24537353431
BaseRepresentation
bin111111011110101…
…0100000001010000
312111102222022102222
41332331110001100
513330240031000
6551205200212
7103532501240
oct17675240120
95442868388
102130002000
119a3370035
124b5400068
1327c393a19
14162c59b20
15c6ee1a85
hex7ef54050

2130002000 has 160 divisors (see below), whose sum is σ = 5916478464. Its totient is φ = 726528000.

The previous prime is 2130001999. The next prime is 2130002041. The reversal of 2130002000 is 2000312.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4941785 + ... + 4942215.

Almost surely, 22130002000 is an apocalyptic number.

2130002000 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 2130002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958239232).

2130002000 is an abundant number, since it is smaller than the sum of its proper divisors (3786476464).

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

2130002000 is a wasteful number, since it uses less digits than its factorization.

2130002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2130002000 is about 46151.9447044217. The cubic root of 2130002000 is about 1286.6487539305.

Adding to 2130002000 its reverse (2000312), we get a palindrome (2132002312).

The spelling of 2130002000 in words is "two billion, one hundred thirty million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 353 400 431 500 560 700 706 862 875 1000 1400 1412 1724 1750 1765 2000 2155 2471 2800 2824 3017 3448 3500 3530 4310 4942 5648 6034 6896 7000 7060 8620 8825 9884 10775 12068 12355 14000 14120 15085 17240 17650 19768 21550 24136 24710 28240 30170 34480 35300 39536 43100 44125 48272 49420 53875 60340 61775 70600 75425 86200 88250 98840 107750 120680 123550 141200 150850 152143 172400 176500 197680 215500 241360 247100 301700 304286 308875 353000 377125 431000 494200 603400 608572 617750 706000 754250 760715 862000 988400 1065001 1206800 1217144 1235500 1508500 1521430 2130002 2434288 2471000 3017000 3042860 3803575 4260004 4942000 5325005 6034000 6085720 7607150 8520008 10650010 12171440 15214300 17040016 19017875 21300020 26625025 30428600 38035750 42600040 53250050 60857200 76071500 85200080 106500100 133125125 152143000 213000200 266250250 304286000 426000400 532500500 1065001000 2130002000