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1010011072 = 26717229269
BaseRepresentation
bin111100001100111…
…000101111000000
32121101111212201111
4330030320233000
54032030323242
6244120013104
734012644460
oct7414705700
92541455644
101010011072
114791412a4
12242301194
13131333ab5
14981d5ba0
155da0c817
hex3c338bc0

1010011072 has 168 divisors, whose sum is σ = 2526487200. Its totient is φ = 391888896.

The previous prime is 1010011069. The next prime is 1010011073. The reversal of 1010011072 is 2701100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011073) 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, 3754554 + ... + 3754822.

Almost surely, 21010011072 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 1010011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263243600).

1010011072 is an abundant number, since it is smaller than the sum of its proper divisors (1516476128).

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

1010011072 is a wasteful number, since it uses less digits than its factorization.

1010011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 1010011072 is about 31780.6713585475. The cubic root of 1010011072 is about 1003.3259497941.

Adding to 1010011072 its reverse (2701100101), we get a palindrome (3711111173).

The spelling of 1010011072 in words is "one billion, ten million, eleven thousand, seventy-two".