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1052212366116 = 223229228121281
BaseRepresentation
bin11110100111111001011…
…11101000101100100100
310201120221111012102212200
433103330233220230210
5114214412331203431
62123214002414500
7136006542353532
oct17237457505444
93646844172780
101052212366116
113762714a439a
1214bb13961430
13782b94a9732
1438cda913152
151c58546bee6
hexf4fcbe8b24

1052212366116 has 18 divisors (see below), whose sum is σ = 2659759036662. Its totient is φ = 350737455360.

The previous prime is 1052212366081. The next prime is 1052212366133. The reversal of 1052212366116 is 6116632122501.

1052212366116 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 1 + 2 + 36 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 803963289600 + 248249076516 = 896640^2 + 498246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10522123661162 (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), and also a Moran number because the ratio is a prime number: 29228121281 = 1052212366116 / (1 + 0 + 5 + 2 + 2 + 1 + 2 + 3 + 6 + 6 + 1 + 1 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14614060605 + ... + 14614060676.

Almost surely, 21052212366116 is an apocalyptic number.

It is an amenable number.

1052212366116 is an abundant number, since it is smaller than the sum of its proper divisors (1607546670546).

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

1052212366116 is a wasteful number, since it uses less digits than its factorization.

1052212366116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29228121291 (or 29228121286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 1052212366116 its reverse (6116632122501), we get a palindrome (7168844488617).

The spelling of 1052212366116 in words is "one trillion, fifty-two billion, two hundred twelve million, three hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 29228121281 58456242562 87684363843 116912485124 175368727686 263053091529 350737455372 526106183058 1052212366116