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2134021300 = 225241836271
BaseRepresentation
bin111111100110010…
…1001010010110100
312111201112111212221
41333030221102310
513332302140200
6551431252124
7103611611305
oct17714512264
95451474787
102134021300
119a5665874
124b681a044
132801702c8
141635c47ac
15c753791a
hex7f3294b4

2134021300 has 72 divisors (see below), whose sum is σ = 4801692672. Its totient is φ = 822624000.

The previous prime is 2134021283. The next prime is 2134021301. The reversal of 2134021300 is 31204312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337165 + ... + 343435.

It is an arithmetic number, because the mean of its divisors is an integer number (66690176).

Almost surely, 22134021300 is an apocalyptic number.

2134021300 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 2134021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400846336).

2134021300 is an abundant number, since it is smaller than the sum of its proper divisors (2667671372).

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

2134021300 is a wasteful number, since it uses less digits than its factorization.

2134021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2134021300 is about 46195.4683924733. The cubic root of 2134021300 is about 1287.4575447087.

Adding to 2134021300 its reverse (31204312), we get a palindrome (2165225612).

The spelling of 2134021300 in words is "two billion, one hundred thirty-four million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 83 100 164 166 205 332 410 415 820 830 1025 1660 2050 2075 3403 4100 4150 6271 6806 8300 12542 13612 17015 25084 31355 34030 62710 68060 85075 125420 156775 170150 257111 313550 340300 514222 520493 627100 1028444 1040986 1285555 2081972 2571110 2602465 5142220 5204930 6427775 10409860 12855550 13012325 21340213 25711100 26024650 42680426 52049300 85360852 106701065 213402130 426804260 533505325 1067010650 2134021300