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4100231004 = 22329731031567
BaseRepresentation
bin1111010001100100…
…1000111101011100
3101120202022022112120
43310121020331130
531344124343004
61514510102540
7203415250152
oct36431107534
911522268476
104100231004
111814523271
129651aaa50
135046163bc
142ac7a53d2
1518ee733d9
hexf4648f5c

4100231004 has 96 divisors (see below), whose sum is σ = 10136555520. Its totient is φ = 1288078848.

The previous prime is 4100230993. The next prime is 4100231011. The reversal of 4100231004 is 4001320014.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2615829 + ... + 2617395.

It is an arithmetic number, because the mean of its divisors is an integer number (105589120).

Almost surely, 24100231004 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 4100231004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068277760).

4100231004 is an abundant number, since it is smaller than the sum of its proper divisors (6036324516).

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

4100231004 is a wasteful number, since it uses less digits than its factorization.

4100231004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4100231004 is about 64033.0461871056. The cubic root of 4100231004 is about 1600.5507223979.

Adding to 4100231004 its reverse (4001320014), we get a palindrome (8101551018).

The spelling of 4100231004 in words is "four billion, one hundred million, two hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 29 58 73 87 103 116 146 174 206 219 292 309 348 412 438 618 876 1236 1567 2117 2987 3134 4234 4701 5974 6268 6351 7519 8468 8961 9402 11948 12702 15038 17922 18804 22557 25404 30076 35844 45114 45443 90228 90886 114391 136329 161401 181772 218051 228782 272658 322802 343173 436102 457564 484203 545316 645604 654153 686346 872204 968406 1308306 1372692 1936812 2616612 3317339 4680629 6634678 9361258 9952017 11782273 13269356 14041887 18722516 19904034 23564546 28083774 35346819 39808068 47129092 56167548 70693638 141387276 341685917 683371834 1025057751 1366743668 2050115502 4100231004