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4201103214 = 2327114097411
BaseRepresentation
bin1111101001100111…
…1011111101101110
3101211210010011012100
43322121323331232
532100440300324
61532512115530
7206051534220
oct37231737556
911753104170
104201103214
111866460030
12992b35ba6
1351c4a3bb9
142bbd42410
15198c4b4c9
hexfa67bf6e

4201103214 has 96 divisors (see below), whose sum is σ = 11377716480. Its totient is φ = 1088380800.

The previous prime is 4201103177. The next prime is 4201103227. The reversal of 4201103214 is 4123011024.

It is a super-2 number, since 2×42011032142 = 35298536429362259592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563169 + ... + 570579.

It is an arithmetic number, because the mean of its divisors is an integer number (118517880).

Almost surely, 24201103214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201103214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688858240).

4201103214 is an abundant number, since it is smaller than the sum of its proper divisors (7176613266).

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

4201103214 is a wasteful number, since it uses less digits than its factorization.

4201103214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7843 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4201103214 is about 64815.9179060206. The cubic root of 4201103214 is about 1613.5699000917.

Adding to 4201103214 its reverse (4123011024), we get a palindrome (8324114238).

It can be divided in two parts, 420110 and 3214, that added together give a palindrome (423324).

The spelling of 4201103214 in words is "four billion, two hundred one million, one hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 409 462 693 818 1227 1386 2454 2863 3681 4499 5726 7362 7411 8589 8998 13497 14822 17178 22233 25767 26994 31493 40491 44466 51534 51877 62986 66699 80982 81521 94479 103754 133398 155631 163042 188958 244563 283437 311262 466893 489126 566874 570647 733689 933786 1141294 1467378 1711941 3031099 3423882 5135823 6062198 9093297 10271646 18186594 21217693 27279891 33342089 42435386 54559782 63653079 66684178 100026267 127306158 190959237 200052534 233394623 300078801 381918474 466789246 600157602 700183869 1400367738 2100551607 4201103214