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4112040100 = 2252719729819
BaseRepresentation
bin1111010100011000…
…1100000010100100
3101121120112021120111
43311012030002210
531410140240400
61520011142404
7203620523050
oct36506140244
911546467514
104112040100
111820159653
12969144a04
13506bbc52c
142b019ac60
151910073ba
hexf518c0a4

4112040100 has 72 divisors (see below), whose sum is σ = 10249968960. Its totient is φ = 1402638720.

The previous prime is 4112040071. The next prime is 4112040113. The reversal of 4112040100 is 10402114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122991 + ... + 152809.

It is an arithmetic number, because the mean of its divisors is an integer number (142360680).

Almost surely, 24112040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124984480).

4112040100 is an abundant number, since it is smaller than the sum of its proper divisors (6137928860).

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

4112040100 is a wasteful number, since it uses less digits than its factorization.

4112040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30037 (or 30030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4112040100 is about 64125.1908379227. The cubic root of 4112040100 is about 1602.0858343154.

Adding to 4112040100 its reverse (10402114), we get a palindrome (4122442214).

The spelling of 4112040100 in words is "four billion, one hundred twelve million, forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 788 985 1379 1970 2758 3940 4925 5516 6895 9850 13790 19700 27580 29819 34475 59638 68950 119276 137900 149095 208733 298190 417466 596380 745475 834932 1043665 1490950 2087330 2981900 4174660 5218325 5874343 10436650 11748686 20873300 23497372 29371715 41120401 58743430 82240802 117486860 146858575 164481604 205602005 293717150 411204010 587434300 822408020 1028010025 2056020050 4112040100