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10030031442 = 2339710118959
BaseRepresentation
bin10010101011101011…
…00010001001010010
3221220000021101112000
421111311202021102
5131020142001232
64335134214430
7503360601114
oct112565421122
927800241460
1010030031442
114287767092
121b3b054416
13c3aca3862
146b213d3b4
153da84127c
hex255d62252

10030031442 has 64 divisors (see below), whose sum is σ = 22742899200. Its totient is φ = 3275942400.

The previous prime is 10030031441. The next prime is 10030031461. The reversal of 10030031442 is 24413003001.

10030031442 is a `hidden beast` number, since 10 + 0 + 300 + 314 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10030031441) 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, 519559 + ... + 538517.

It is an arithmetic number, because the mean of its divisors is an integer number (355357800).

Almost surely, 210030031442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030031442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371449600).

10030031442 is an abundant number, since it is smaller than the sum of its proper divisors (12712867758).

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

10030031442 is a wasteful number, since it uses less digits than its factorization.

10030031442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168 (or 19162 counting only the distinct ones).

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

Adding to 10030031442 its reverse (24413003001), we get a palindrome (34443034443).

The spelling of 10030031442 in words is "ten billion, thirty million, thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 101 194 202 291 303 582 606 873 909 1746 1818 2619 2727 5238 5454 9797 18959 19594 29391 37918 56877 58782 88173 113754 170631 176346 264519 341262 511893 529038 1023786 1839023 1914859 3678046 3829718 5517069 5744577 11034138 11489154 16551207 17233731 33102414 34467462 49653621 51701193 99307242 103402386 185741323 371482646 557223969 1114447938 1671671907 3343343814 5015015721 10030031442