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10353164430 = 23572292111151
BaseRepresentation
bin10011010010001100…
…01100000010001110
3222201112022020122110
421221012030002032
5132200402230210
64431200124450
7514363305600
oct115106140216
928645266573
1010353164430
114433100744
12200b306726
13c8cc10acb
14703015170
15408dbe420
hex26918c08e

10353164430 has 192 divisors, whose sum is σ = 30068858880. Its totient is φ = 2272032000.

The previous prime is 10353164389. The next prime is 10353164431. The reversal of 10353164430 is 3446135301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10353164431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8994355 + ... + 8995505.

It is an arithmetic number, because the mean of its divisors is an integer number (156608640).

Almost surely, 210353164430 is an apocalyptic number.

10353164430 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 10353164430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034429440).

10353164430 is an abundant number, since it is smaller than the sum of its proper divisors (19715694450).

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

10353164430 is a wasteful number, since it uses less digits than its factorization.

10353164430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 10353164430 its reverse (3446135301), we get a palindrome (13799299731).

The spelling of 10353164430 in words is "ten billion, three hundred fifty-three million, one hundred sixty-four thousand, four hundred thirty".