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10331102142 = 23219236591993
BaseRepresentation
bin10011001111100100…
…00001101110111110
3222122222210100212200
421213302001232332
5132124230232032
64425051212330
7514004630214
oct114762015676
928588710780
1010331102142
114421701a49
122003a470a6
13c88487aba
14700110cb4
15406eb247c
hex267c81bbe

10331102142 has 96 divisors (see below), whose sum is σ = 24636268800. Its totient is φ = 3114308736.

The previous prime is 10331102099. The next prime is 10331102143. The reversal of 10331102142 is 24120113301.

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 (10331102143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5182698 + ... + 5184690.

It is an arithmetic number, because the mean of its divisors is an integer number (256627800).

Almost surely, 210331102142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331102142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12318134400).

10331102142 is an abundant number, since it is smaller than the sum of its proper divisors (14305166658).

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

10331102142 is a wasteful number, since it uses less digits than its factorization.

10331102142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10331102142 its reverse (24120113301), we get a palindrome (34451215443).

The spelling of 10331102142 in words is "ten billion, three hundred thirty-one million, one hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 659 874 1311 1318 1977 1993 2622 3933 3954 3986 5931 5979 7866 11862 11958 12521 15157 17937 25042 30314 35874 37563 37867 45471 45839 75126 75734 90942 91678 112689 113601 136413 137517 225378 227202 272826 275034 287983 340803 412551 575966 681606 825102 863949 870941 1313387 1727898 1741882 2591847 2612823 2626774 3940161 5183694 5225646 7838469 7880322 11820483 15676938 23640966 24954353 30207901 49908706 60415802 74863059 90623703 149726118 181247406 224589177 271871109 449178354 543742218 573950119 1147900238 1721850357 3443700714 5165551071 10331102142