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4013332100 = 2252231744927
BaseRepresentation
bin1110111100110110…
…1001011010000100
3101100200210101122122
43233031221122010
531204403111400
61502123345112
7201311521451
oct35715513204
911320711578
104013332100
11177a46a898
12940082198
134bc60bb2b
142a1024828
1518750a685
hexef369684

4013332100 has 36 divisors (see below), whose sum is σ = 9087585024. Its totient is φ = 1535534880.

The previous prime is 4013332097. The next prime is 4013332111. The reversal of 4013332100 is 12333104.

It is a happy number.

It is a super-2 number, since 2×40133321002 = 32213669089780820000, 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 11 ways as a sum of consecutive naturals, for example, 870164 + ... + 874763.

Almost surely, 24013332100 is an apocalyptic number.

It is an amenable number.

4013332100 is an abundant number, since it is smaller than the sum of its proper divisors (5074252924).

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

4013332100 is a wasteful number, since it uses less digits than its factorization.

4013332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744964 (or 1744957 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4013332100 is about 63350.8650296111. The cubic root of 4013332100 is about 1589.1627119936.

Adding to 4013332100 its reverse (12333104), we get a palindrome (4025665204).

The spelling of 4013332100 in words is "four billion, thirteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 1744927 3489854 6979708 8724635 17449270 34898540 40133321 43623175 80266642 87246350 160533284 174492700 200666605 401333210 802666420 1003333025 2006666050 4013332100