Search a number
-
+
10213233012 = 22321497972389
BaseRepresentation
bin10011000001100000…
…11001000101110100
3222100202222222211100
421200300121011310
5131404041424022
64405241010100
7511044022353
oct114060310564
928322888740
1010213233012
114371116144
121b90483930
13c69c28a58
146cc5cb99a
153eb97d1ac
hex260c19174

10213233012 has 72 divisors (see below), whose sum is σ = 26033553000. Its totient is φ = 3375906048.

The previous prime is 10213233011. The next prime is 10213233029. The reversal of 10213233012 is 21033231201.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 10207869156 = 2316^2 + 101034^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213233011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4273914 + ... + 4276302.

It is an arithmetic number, because the mean of its divisors is an integer number (361577125).

Almost surely, 210213233012 is an apocalyptic number.

10213233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213233012 is an abundant number, since it is smaller than the sum of its proper divisors (15820319988).

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

10213233012 is a wasteful number, since it uses less digits than its factorization.

10213233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213233012 its reverse (21033231201), we get a palindrome (31246464213).

The spelling of 10213233012 in words is "ten billion, two hundred thirteen million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 797 894 1341 1594 1788 2389 2391 2682 3188 4778 4782 5364 7167 7173 9556 9564 14334 14346 21501 28668 28692 43002 86004 118753 237506 355961 356259 475012 711922 712518 1067883 1068777 1423844 1425036 1904033 2135766 2137554 3203649 3808066 4271532 4275108 5712099 6407298 7616132 11424198 12814596 17136297 22848396 34272594 68545188 283700917 567401834 851102751 1134803668 1702205502 2553308253 3404411004 5106616506 10213233012