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4204113100 = 2252116915531
BaseRepresentation
bin1111101010010101…
…1010110011001100
3101211222210001222121
43322211122303030
532102223104400
61533100422324
7206116241335
oct37245326314
911758701877
104204113100
111868126440
12993b479a4
1351ccb8bb5
142bc4c728c
1519914321a
hexfa95accc

4204113100 has 72 divisors (see below), whose sum is σ = 9968486976. Its totient is φ = 1526280000.

The previous prime is 4204113097. The next prime is 4204113101. The reversal of 4204113100 is 13114024.

It is a super-2 number, since 2×42041131002 = 35349133915183220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4204113101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757335 + ... + 762865.

It is an arithmetic number, because the mean of its divisors is an integer number (138451208).

Almost surely, 24204113100 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 4204113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984243488).

4204113100 is an abundant number, since it is smaller than the sum of its proper divisors (5764373876).

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

4204113100 is a wasteful number, since it uses less digits than its factorization.

4204113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4204113100 is about 64839.1324741471. The cubic root of 4204113100 is about 1613.9551562028.

Adding to 4204113100 its reverse (13114024), we get a palindrome (4217227124).

The spelling of 4204113100 in words is "four billion, two hundred four million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 691 1100 1382 2764 3455 5531 6910 7601 11062 13820 15202 17275 22124 27655 30404 34550 38005 55310 60841 69100 76010 110620 121682 138275 152020 190025 243364 276550 304205 380050 553100 608410 760100 1216820 1521025 3042050 3821921 6084100 7643842 15287684 19109605 38219210 42041131 76438420 84082262 95548025 168164524 191096050 210205655 382192100 420411310 840822620 1051028275 2102056550 4204113100