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1014023100 = 223527974241
BaseRepresentation
bin111100011100001…
…100001110111100
32121200001201012010
4330130030032330
54034042214400
6244342011220
734062024366
oct7434141674
92550051163
101014023100
11480431622
12243716b10
13132109c8c
149895bd36
155e051450
hex3c70c3bc

1014023100 has 72 divisors (see below), whose sum is σ = 2938280688. Its totient is φ = 270003200.

The previous prime is 1014023093. The next prime is 1014023203. The reversal of 1014023100 is 13204101.

It is a happy number.

It is a super-2 number, since 2×10140231002 = 2056485694667220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 236980 + ... + 241220.

It is an arithmetic number, because the mean of its divisors is an integer number (40809454).

Almost surely, 21014023100 is an apocalyptic number.

1014023100 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 1014023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469140344).

1014023100 is an abundant number, since it is smaller than the sum of its proper divisors (1924257588).

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

1014023100 is a wasteful number, since it uses less digits than its factorization.

1014023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1014023100 is about 31843.7293670198. The cubic root of 1014023100 is about 1004.6526856103.

Adding to 1014023100 its reverse (13204101), we get a palindrome (1027227201).

The spelling of 1014023100 in words is "one billion, fourteen million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 797 1594 2391 3188 3985 4241 4782 7970 8482 9564 11955 12723 15940 16964 19925 21205 23910 25446 39850 42410 47820 50892 59775 63615 79700 84820 106025 119550 127230 212050 239100 254460 318075 424100 636150 1272300 3380077 6760154 10140231 13520308 16900385 20280462 33800770 40560924 50701155 67601540 84501925 101402310 169003850 202804620 253505775 338007700 507011550 1014023100