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10011353440 = 2551137473271
BaseRepresentation
bin10010101001011100…
…10010000101100000
3221211201010110010011
421110232102011200
5131000401302230
64333230014304
7503043046234
oct112456220540
927751113104
1010011353440
11427816a020
121b34947394
13c3716409a
146ad87a5c4
153d8da1e2a
hex254b92160

10011353440 has 192 divisors, whose sum is σ = 27071428608. Its totient is φ = 3465676800.

The previous prime is 10011353437. The next prime is 10011353453. The reversal of 10011353440 is 4435311001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3059005 + ... + 3062275.

It is an arithmetic number, because the mean of its divisors is an integer number (140997024).

Almost surely, 210011353440 is an apocalyptic number.

10011353440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13535714304).

10011353440 is an abundant number, since it is smaller than the sum of its proper divisors (17060075168).

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

10011353440 is a wasteful number, since it uses less digits than its factorization.

10011353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10011353440 its reverse (4435311001), we get a palindrome (14446664441).

The spelling of 10011353440 in words is "ten billion, eleven million, three hundred fifty-three thousand, four hundred forty".