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4232001012 = 22317238310867
BaseRepresentation
bin1111110000111111…
…0011010111110100
3101220221020221000020
43330033303113310
532131343013022
61535534245140
7206605262241
oct37417632764
911827227006
104232001012
111881943aa8
129a13567b0
13525a01715
142c20a65c8
1519b80135c
hexfc3f35f4

4232001012 has 96 divisors (see below), whose sum is σ = 11042583552. Its totient is φ = 1254544896.

The previous prime is 4232000957. The next prime is 4232001019. The reversal of 4232001012 is 2101002324.

It is a junction number, because it is equal to n+sod(n) for n = 4232000982 and 4232001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232001019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384003 + ... + 394869.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 24232001012 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 4232001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521291776).

4232001012 is an abundant number, since it is smaller than the sum of its proper divisors (6810582540).

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

4232001012 is a wasteful number, since it uses less digits than its factorization.

4232001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10995 counting only the distinct ones).

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

The square root of 4232001012 is about 65053.8316473365. The cubic root of 4232001012 is about 1617.5160087504.

Adding to 4232001012 its reverse (2101002324), we get a palindrome (6333003336).

The spelling of 4232001012 in words is "four billion, two hundred thirty-two million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 83 92 102 138 166 204 249 276 332 391 498 782 996 1173 1411 1564 1909 2346 2822 3818 4233 4692 5644 5727 7636 8466 10867 11454 16932 21734 22908 32453 32601 43468 64906 65202 97359 129812 130404 184739 194718 249941 369478 389436 499882 554217 738956 749823 901961 999764 1108434 1499646 1803922 2216868 2705883 2999292 3607844 4248997 5411766 8497994 10823532 12746991 15333337 16995988 20745103 25493982 30666674 41490206 46000011 50987964 61333348 62235309 82980412 92000022 124470618 184000044 248941236 352666751 705333502 1058000253 1410667004 2116000506 4232001012