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10696225120 = 2557312391289
BaseRepresentation
bin10011111011000101…
…10111000101100000
31000121102211112102221
421331202313011200
5133401213200440
64525213120424
7526030261540
oct117542670540
930542745387
1010696225120
114599816279
1220a6189114
1310160075b9
147367d7320
15429086d4a
hex27d8b7160

10696225120 has 192 divisors, whose sum is σ = 29959372800. Its totient is φ = 3531386880.

The previous prime is 10696225097. The next prime is 10696225129. The reversal of 10696225120 is 2152269601.

It is a happy number.

10696225120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106962251202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10696225129) 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, 8297436 + ... + 8298724.

It is an arithmetic number, because the mean of its divisors is an integer number (156038400).

Almost surely, 210696225120 is an apocalyptic number.

10696225120 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 10696225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979686400).

10696225120 is an abundant number, since it is smaller than the sum of its proper divisors (19263147680).

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

10696225120 is a wasteful number, since it uses less digits than its factorization.

10696225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 10696225120 in words is "ten billion, six hundred ninety-six million, two hundred twenty-five thousand, one hundred twenty".