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10030310442 = 2322367431839
BaseRepresentation
bin10010101011101101…
…00110010000101010
3221220000210120020100
421111312212100222
5131020224413232
64335144210230
7503363142405
oct112566462052
927800716210
1010030310442
114287937769
121b3b169976
13c3b070849
146b21b2d3c
153da898c7c
hex255da642a

10030310442 has 96 divisors (see below), whose sum is σ = 23096586240. Its totient is φ = 3139282080.

The previous prime is 10030310441. The next prime is 10030310513. The reversal of 10030310442 is 24401303001.

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 (10030310441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11954659 + ... + 11955497.

It is an arithmetic number, because the mean of its divisors is an integer number (240589440).

Almost surely, 210030310442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030310442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

10030310442 is an abundant number, since it is smaller than the sum of its proper divisors (13066275798).

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

10030310442 is a wasteful number, since it uses less digits than its factorization.

10030310442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1365 counting only the distinct ones).

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

Adding to 10030310442 its reverse (24401303001), we get a palindrome (34431613443).

The spelling of 10030310442 in words is "ten billion, thirty million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 431 603 839 862 1206 1293 1541 1678 2517 2586 3082 3879 4623 5034 7551 7758 9246 9913 13869 15102 19297 19826 27738 28877 29739 38594 56213 57754 57891 59478 86631 89217 112426 115782 168639 173262 173673 178434 259893 337278 347346 361609 505917 519786 664171 723218 1011834 1084827 1292899 1328342 1992513 2169654 2585798 3254481 3878697 3985026 5977539 6508962 7757394 8317007 11636091 11955078 16634014 23272182 24227803 24951021 48455606 49902042 72683409 74853063 145366818 149706126 218050227 436100454 557239469 1114478938 1671718407 3343436814 5015155221 10030310442