Search a number
-
+
10232243010 = 23251112798081
BaseRepresentation
bin10011000011110001…
…11010001101000010
3222102002202210122100
421201320322031002
5131423423234020
64411200251230
7511364426163
oct114170721502
928362683570
1010232243010
11438091a690
121b96910b16
13c70b53682
146d0d3976a
153ed485a90
hex261e3a342

10232243010 has 96 divisors (see below), whose sum is σ = 29048647680. Its totient is φ = 2478297600.

The previous prime is 10232242997. The next prime is 10232243027. The reversal of 10232243010 is 1034223201.

10232243010 is a `hidden beast` number, since 1 + 0 + 232 + 2 + 430 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1262170 + ... + 1270250.

It is an arithmetic number, because the mean of its divisors is an integer number (302590080).

Almost surely, 210232243010 is an apocalyptic number.

10232243010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232243010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524323840).

10232243010 is an abundant number, since it is smaller than the sum of its proper divisors (18816404670).

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

10232243010 is a wasteful number, since it uses less digits than its factorization.

10232243010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232243010 its reverse (1034223201), we get a palindrome (11266466211).

The spelling of 10232243010 in words is "ten billion, two hundred thirty-two million, two hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1279 2558 3837 6395 7674 8081 11511 12790 14069 16162 19185 23022 24243 28138 38370 40405 42207 48486 57555 70345 72729 80810 84414 88891 115110 121215 126621 140690 145458 177782 211035 242430 253242 266673 363645 422070 444455 533346 633105 727290 800019 888910 1266210 1333365 1600038 2666730 4000095 8000190 10335599 20671198 31006797 51677995 62013594 93020391 103355990 113691589 155033985 186040782 227383178 310067970 341074767 465101955 568457945 682149534 930203910 1023224301 1136915890 1705373835 2046448602 3410747670 5116121505 10232243010