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10110011000012 = 227114310119339161
BaseRepresentation
bin1001001100011110101110…
…0111010100010011001100
31022210111201001100002101022
42103013223213110103030
52311120300304000022
633300250330333312
72062265332410620
oct223075347242314
938714631302338
1010110011000012
1132486a4707650
12117347a28a238
135844a6a071c1
1426d481977180
15127eb7eaec42
hex931eb9d44cc

10110011000012 has 192 divisors, whose sum is σ = 22913356612608. Its totient is φ = 3789434880000.

The previous prime is 10110011000009. The next prime is 10110011000041. The reversal of 10110011000012 is 21000011001101.

It is a happy number.

10110011000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258145712 + ... + 258184872.

It is an arithmetic number, because the mean of its divisors is an integer number (119340399024).

Almost surely, 210110011000012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110011000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456678306304).

10110011000012 is an abundant number, since it is smaller than the sum of its proper divisors (12803345612596).

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

10110011000012 is a wasteful number, since it uses less digits than its factorization.

10110011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39520 (or 39518 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10110011000012 its reverse (21000011001101), we get a palindrome (31110022001113).

The spelling of 10110011000012 in words is "ten trillion, one hundred ten billion, eleven million, twelve", and thus it is an aban number.