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1134140100 = 2235236710301
BaseRepresentation
bin100001110011001…
…1001101011000100
32221001002021201220
41003212121223010
54310314440400
6304312320340
740051013622
oct10346315304
92831067656
101134140100
11532213275
122779a30b0
13150c75222
14aa8a8512
156987b7a0
hex43999ac4

1134140100 has 72 divisors (see below), whose sum is σ = 3290706048. Its totient is φ = 301584000.

The previous prime is 1134140089. The next prime is 1134140113. The reversal of 1134140100 is 10414311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1134140100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104950 + ... + 115250.

Almost surely, 21134140100 is an apocalyptic number.

1134140100 is a gapful number since it is divisible by the number (10) 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 1134140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645353024).

1134140100 is an abundant number, since it is smaller than the sum of its proper divisors (2156565948).

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

1134140100 is a wasteful number, since it uses less digits than its factorization.

1134140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1134140100 is about 33676.9966000533. The cubic root of 1134140100 is about 1042.8509362595.

Adding to 1134140100 its reverse (10414311), we get a palindrome (1144554411).

The spelling of 1134140100 in words is "one billion, one hundred thirty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1468 1835 2202 3670 4404 5505 7340 9175 10301 11010 18350 20602 22020 27525 30903 36700 41204 51505 55050 61806 103010 110100 123612 154515 206020 257525 309030 515050 618060 772575 1030100 1545150 3090300 3780467 7560934 11341401 15121868 18902335 22682802 37804670 45365604 56707005 75609340 94511675 113414010 189023350 226828020 283535025 378046700 567070050 1134140100