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1010047110121 = 721435732
BaseRepresentation
bin11101011001010110111…
…11111100101111101001
310120120002220211111112201
432230223133330233221
5113022034030010441
62052001554540201
7132654623531200
oct16545337745751
93516086744481
101010047110121
1135a3a4297495
12143906897661
137432996bc0a
1436c5a950237
151b41882cc31
hexeb2b7fcbe9

1010047110121 has 9 divisors (see below), whose sum is σ = 1174960944471. Its totient is φ = 865748635752.

The previous prime is 1010047110119. The next prime is 1010047110157. The reversal of 1010047110121 is 1210117400101.

The square root of 1010047110121 is 1005011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 969821192025 + 40225918096 = 984795^2 + 200564^2 .

It is not a de Polignac number, because 1010047110121 - 21 = 1010047110119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010047114121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6963291 + ... + 7106863.

Almost surely, 21010047110121 is an apocalyptic number.

1010047110121 is the 1005011-st square number.

1010047110121 is the 502506-th centered octagonal number.

It is an amenable number.

1010047110121 is a deficient number, since it is larger than the sum of its proper divisors (164913834350).

1010047110121 is an frugal number, since it uses more digits than its factorization.

1010047110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287160 (or 143580 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 19.

The spelling of 1010047110121 in words is "one trillion, ten billion, forty-seven million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 7 49 143573 1005011 7035077 20613206329 144292444303 1010047110121