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10331012142 = 23211291979133
BaseRepresentation
bin10011001111100011…
…01011110000101110
3222122222121210102100
421213301223300232
5132124214342032
64425045235530
7514004103633
oct114761536056
928588553370
1010331012142
114421650370
122003a02ba6
13c88455b49
147000ca18a
15406e9597c
hex267c6bc2e

10331012142 has 96 divisors (see below), whose sum is σ = 25391789280. Its totient is φ = 3006984960.

The previous prime is 10331012119. The next prime is 10331012147. The reversal of 10331012142 is 24121013301.

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 (10331012147) 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, 1126608 + ... + 1135740.

It is an arithmetic number, because the mean of its divisors is an integer number (264497805).

Almost surely, 210331012142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331012142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695894640).

10331012142 is an abundant number, since it is smaller than the sum of its proper divisors (15060777138).

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

10331012142 is a wasteful number, since it uses less digits than its factorization.

10331012142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9375 counting only the distinct ones).

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

Adding to 10331012142 its reverse (24121013301), we get a palindrome (34452025443).

The spelling of 10331012142 in words is "ten billion, three hundred thirty-one million, twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 197 198 261 319 394 522 591 638 957 1182 1773 1914 2167 2871 3546 4334 5713 5742 6501 9133 11426 13002 17139 18266 19503 27399 34278 39006 51417 54798 62843 82197 100463 102834 125686 164394 188529 200926 264857 301389 377058 529714 565587 602778 794571 904167 1131174 1589142 1799201 1808334 2383713 2913427 3598402 4767426 5397603 5826854 8740281 10795206 16192809 17480562 19791211 26220843 32385618 39582422 52176829 52441686 59373633 104353658 118747266 156530487 178120899 313060974 356241798 469591461 573945119 939182922 1147890238 1721835357 3443670714 5165506071 10331012142