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10381210398 = 2331337399677
BaseRepresentation
bin10011010101100010…
…01011001100011110
3222210111002010111000
421222301023030132
5132230042213043
64434041211130
7515153555346
oct115261131436
928714063430
1010381210398
114447a17029
122018790aa6
13c95980560
14706a35d26
1540b5ae2d3
hex26ac4b31e

10381210398 has 64 divisors (see below), whose sum is σ = 25515443520. Its totient is φ = 3107880576.

The previous prime is 10381210393. The next prime is 10381210403. The reversal of 10381210398 is 89301218301.

10381210398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10381210393) and next prime (10381210403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381210391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173865 + ... + 225812.

It is an arithmetic number, because the mean of its divisors is an integer number (398678805).

Almost surely, 210381210398 is an apocalyptic number.

10381210398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10381210398 is an abundant number, since it is smaller than the sum of its proper divisors (15134233122).

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

10381210398 is a wasteful number, since it uses less digits than its factorization.

10381210398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399738 (or 399732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 10381210398 its reverse (89301218301), we get a palindrome (99682428699).

The spelling of 10381210398 in words is "ten billion, three hundred eighty-one million, two hundred ten thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2886 4329 8658 12987 25974 399677 799354 1199031 2398062 3597093 5195801 7194186 10391602 10791279 14788049 15587403 21582558 29576098 31174806 44364147 46762209 88728294 93524418 133092441 140286627 192244637 266184882 280573254 384489274 399277323 576733911 798554646 1153467822 1730201733 3460403466 5190605199 10381210398