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1069251130116 = 22381324912
BaseRepresentation
bin11111000111101000101…
…01010111001100000100
310210012220221122100000000
433203310111113030010
5120004311242130431
62135112430321300
7140152016434401
oct17436425271404
93705827570000
101069251130116
11382515429a34
1215328a059230
1379aa3522c00
1439a758032a8
151cc3124e9e6
hexf8f4557304

1069251130116 has 243 divisors, whose sum is σ = 3045346782933. Its totient is φ = 328330285920.

The previous prime is 1069251130061. The next prime is 1069251130163. The reversal of 1069251130116 is 6110311529601.

The square root of 1069251130116 is 1034046.

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

1069251130116 is a `hidden beast` number, since 10 + 6 + 92 + 511 + 30 + 1 + 16 = 666.

1069251130116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 158173244100 + 911077886016 = 397710^2 + 954504^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×10692511301162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2177700631 + ... + 2177701121.

Almost surely, 21069251130116 is an apocalyptic number.

1069251130116 is the 1034046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069251130116

1069251130116 is an abundant number, since it is smaller than the sum of its proper divisors (1976095652817).

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

1069251130116 is an frugal number, since it uses more digits than its factorization.

1069251130116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 1069251130116 by its sum of digits (36), we get a square (38493040684176 = 62042762).

1069251130116 divided by its sum of digits (36) gives a square (29701420281 = 1723412).

Adding to 1069251130116 its reverse (6110311529601), we get a palindrome (7179562659717).

The spelling of 1069251130116 in words is "one trillion, sixty-nine billion, two hundred fifty-one million, one hundred thirty thousand, one hundred sixteen".