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2134510500 = 223531678521
BaseRepresentation
bin111111100111010…
…0000101110100100
312111202110100221110
41333032200232210
513332413314000
6551445545020
7103616016453
oct17716405644
95452410843
102134510500
119a596a371
124b6a15170
132802b1b85
141636b0b9a
15c75d2850
hex7f3a0ba4

2134510500 has 96 divisors (see below), whose sum is σ = 6253648128. Its totient is φ = 565728000.

The previous prime is 2134510489. The next prime is 2134510523. The reversal of 2134510500 is 50154312.

It is a super-2 number, since 2×21345105002 = 9112270149220500000, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 246240 + ... + 254760.

It is an arithmetic number, because the mean of its divisors is an integer number (65142168).

Almost surely, 22134510500 is an apocalyptic number.

2134510500 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 2134510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126824064).

2134510500 is an abundant number, since it is smaller than the sum of its proper divisors (4119137628).

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

2134510500 is a wasteful number, since it uses less digits than its factorization.

2134510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2134510500 is about 46200.7629807128. The cubic root of 2134510500 is about 1287.5559155029. Note that the first 3 decimals are identical.

Adding to 2134510500 its reverse (50154312), we get a palindrome (2184664812).

The spelling of 2134510500 in words is "two billion, one hundred thirty-four million, five hundred ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 167 250 300 334 375 500 501 668 750 835 1002 1500 1670 2004 2505 3340 4175 5010 8350 8521 10020 12525 16700 17042 20875 25050 25563 34084 41750 42605 50100 51126 62625 83500 85210 102252 125250 127815 170420 213025 250500 255630 426050 511260 639075 852100 1065125 1278150 1423007 2130250 2556300 2846014 3195375 4260500 4269021 5692028 6390750 7115035 8538042 12781500 14230070 17076084 21345105 28460140 35575175 42690210 71150350 85380420 106725525 142300700 177875875 213451050 355751750 426902100 533627625 711503500 1067255250 2134510500