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2130302000 = 24533972683
BaseRepresentation
bin111111011111001…
…1101010000110000
312111110112112222002
41332332131100300
513330324131000
6551215433132
7103535161001
oct17676352060
95443475862
102130302000
119a3555472
124b55257a8
1327c46a438
14162cd71a8
15c70508d5
hex7ef9d430

2130302000 has 80 divisors (see below), whose sum is σ = 5165969952. Its totient is φ = 849657600.

The previous prime is 2130301997. The next prime is 2130302023. The reversal of 2130302000 is 2030312.

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

It is a super-2 number, since 2×21303020002 = 9076373222408000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792659 + ... + 795341.

Almost surely, 22130302000 is an apocalyptic number.

2130302000 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 2130302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582984976).

2130302000 is an abundant number, since it is smaller than the sum of its proper divisors (3035667952).

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

2130302000 is a wasteful number, since it uses less digits than its factorization.

2130302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2130302000 is about 46155.1947238878. The cubic root of 2130302000 is about 1286.7091570828.

Adding to 2130302000 its reverse (2030312), we get a palindrome (2132332312).

The spelling of 2130302000 in words is "two billion, one hundred thirty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 397 400 500 794 1000 1588 1985 2000 2683 3176 3970 5366 6352 7940 9925 10732 13415 15880 19850 21464 26830 31760 39700 42928 49625 53660 67075 79400 99250 107320 134150 158800 198500 214640 268300 335375 397000 536600 670750 794000 1065151 1073200 1341500 2130302 2683000 4260604 5325755 5366000 8521208 10651510 17042416 21303020 26628775 42606040 53257550 85212080 106515100 133143875 213030200 266287750 426060400 532575500 1065151000 2130302000