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1121341216356 = 22321764892
BaseRepresentation
bin10000010100010101001…
…001010001011001100100
310222012101012022212221100
4100110111021101121210
5121333001322410411
62215045333520100
7144004611034134
oct20242511213144
93865335285840
101121341216356
113a2615979789
121613a6aa3030
13819852bc24a
143c3b795cac4
151e27e34e456
hex10515251664

1121341216356 has 27 divisors (see below), whose sum is σ = 2834517468601. Its totient is φ = 373778287584.

The previous prime is 1121341216339. The next prime is 1121341216363. The reversal of 1121341216356 is 6536121431211.

The square root of 1121341216356 is 1058934.

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

1121341216356 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 4 + 12 + 1 + 635 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 291347334756 + 829993881600 = 539766^2 + 911040^2 .

It is a super-2 number, since 2×11213412163562 (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 a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121341216356.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6265360 + ... + 6441848.

Almost surely, 21121341216356 is an apocalyptic number.

1121341216356 is the 1058934-th square number.

It is an amenable number.

1121341216356 is an abundant number, since it is smaller than the sum of its proper divisors (1713176252245).

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

1121341216356 is an frugal number, since it uses more digits than its factorization.

1121341216356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352988 (or 176494 counting only the distinct ones).

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

Multiplying 1121341216356 by its sum of digits (36), we get a square (40368283788816 = 63536042).

1121341216356 divided by its sum of digits (36) gives a square (31148367121 = 1764892).

Adding to 1121341216356 its reverse (6536121431211), we get a palindrome (7657462647567).

The spelling of 1121341216356 in words is "one trillion, one hundred twenty-one billion, three hundred forty-one million, two hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 176489 352978 529467 705956 1058934 1588401 2117868 3176802 6353604 31148367121 62296734242 93445101363 124593468484 186890202726 280335304089 373780405452 560670608178 1121341216356