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1141014023201 = 13172303703493
BaseRepresentation
bin10000100110101001101…
…111000100110000100001
311001002011020012000120002
4100212221233010300201
5122143244042220301
62232101414225345
7145302251113133
oct20465157046041
94032136160502
101141014023201
113aa9a0740738
12165177355255
138379bc67860
143d3225d3053
151ea314d916b
hex109a9bc4c21

1141014023201 has 12 divisors (see below), whose sum is σ = 1305317617212. Its totient is φ = 991288197888.

The previous prime is 1141014023197. The next prime is 1141014023221. The reversal of 1141014023201 is 1023204101411.

It can be written as a sum of positive squares in 6 ways, for example, as 16192576 + 1140997830625 = 4024^2 + 1068175^2 .

It is not a de Polignac number, because 1141014023201 - 22 = 1141014023197 is a prime.

It is a super-2 number, since 2×11410140232012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141014023221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151847990 + ... + 151855503.

It is an arithmetic number, because the mean of its divisors is an integer number (108776468101).

Almost surely, 21141014023201 is an apocalyptic number.

It is an amenable number.

1141014023201 is a deficient number, since it is larger than the sum of its proper divisors (164303594011).

1141014023201 is a wasteful number, since it uses less digits than its factorization.

1141014023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303703540 (or 303703523 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1141014023201 its reverse (1023204101411), we get a palindrome (2164218124612).

The spelling of 1141014023201 in words is "one trillion, one hundred forty-one billion, fourteen million, twenty-three thousand, two hundred one".

Divisors: 1 13 17 221 289 3757 303703493 3948145409 5162959381 67118471953 87770309477 1141014023201