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2134123104 = 253187911831
BaseRepresentation
bin111111100110100…
…0010001001100000
312111201201200112110
41333031002021200
513332313414404
6551433355320
7103612514151
oct17715021140
95451650473
102134123104
119a5725303
124b6868b40
132801a7749
1416360d928
15c7557b89
hex7f342260

2134123104 has 48 divisors (see below), whose sum is σ = 5605528320. Its totient is φ = 710935680.

The previous prime is 2134123097. The next prime is 2134123127. The reversal of 2134123104 is 4013214312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174469 + ... + 186299.

It is an arithmetic number, because the mean of its divisors is an integer number (116781840).

Almost surely, 22134123104 is an apocalyptic number.

2134123104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134123104 is an abundant number, since it is smaller than the sum of its proper divisors (3471405216).

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

2134123104 is a wasteful number, since it uses less digits than its factorization.

2134123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2134123104 is about 46196.5702623041. The cubic root of 2134123104 is about 1287.4780172072.

Adding to 2134123104 its reverse (4013214312), we get a palindrome (6147337416).

The spelling of 2134123104 in words is "two billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1879 3758 5637 7516 11274 11831 15032 22548 23662 30064 35493 45096 47324 60128 70986 90192 94648 141972 180384 189296 283944 378592 567888 1135776 22230449 44460898 66691347 88921796 133382694 177843592 266765388 355687184 533530776 711374368 1067061552 2134123104