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10442423310 = 23511293107999
BaseRepresentation
bin10011011100110101…
…01011110000001110
3222221202021001210220
421232122223300032
5132341230021220
64444105212210
7516526063554
oct115632536016
928852231726
1010442423310
114479526210
122035191066
13ca5563607
14710c0bbd4
15411b51540
hex26e6abc0e

10442423310 has 64 divisors (see below), whose sum is σ = 27433728000. Its totient is φ = 2522833280.

The previous prime is 10442423297. The next prime is 10442423339. The reversal of 10442423310 is 1332424401.

It is a super-2 number, since 2×104424233102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42691 + ... + 150689.

It is an arithmetic number, because the mean of its divisors is an integer number (428652000).

Almost surely, 210442423310 is an apocalyptic number.

10442423310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442423310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864000).

10442423310 is an abundant number, since it is smaller than the sum of its proper divisors (16991304690).

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

10442423310 is a wasteful number, since it uses less digits than its factorization.

10442423310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108313.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10442423310 its reverse (1332424401), we get a palindrome (11774847711).

The spelling of 10442423310 in words is "ten billion, four hundred forty-two million, four hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 293 330 586 879 1465 1758 2930 3223 4395 6446 8790 9669 16115 19338 32230 48345 96690 107999 215998 323997 539995 647994 1079990 1187989 1619985 2375978 3239970 3563967 5939945 7127934 11879890 17819835 31643707 35639670 63287414 94931121 158218535 189862242 316437070 348080777 474655605 696161554 949311210 1044242331 1740403885 2088484662 3480807770 5221211655 10442423310