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10120332096 = 263278330241
BaseRepresentation
bin10010110110011100…
…00000001101000000
3222010022012010201200
421123032000031000
5131211301111341
64352121501200
7505535255250
oct113316001500
928108163650
1010120332096
114323733326
121b65341800
13c538cc5b4
146c0127960
153e372bdb6
hex25b380340

10120332096 has 168 divisors, whose sum is σ = 33552652224. Its totient is φ = 2856591360.

The previous prime is 10120332091. The next prime is 10120332109. The reversal of 10120332096 is 69023302101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×101203320962 (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 (10120332091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319536 + ... + 349776.

It is an arithmetic number, because the mean of its divisors is an integer number (199718168).

Almost surely, 210120332096 is an apocalyptic number.

10120332096 is a gapful number since it is divisible by the number (16) 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 10120332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16776326112).

10120332096 is an abundant number, since it is smaller than the sum of its proper divisors (23432320128).

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

10120332096 is a wasteful number, since it uses less digits than its factorization.

10120332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30349 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10120332096 its reverse (69023302101), we get a palindrome (79143634197).

The spelling of 10120332096 in words is "ten billion, one hundred twenty million, three hundred thirty-two thousand, ninety-six".