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1144110301201 = 717431867119759
BaseRepresentation
bin10000101001100010010…
…010011100000000010001
311001101011000101020111001
4100221202102130000101
5122221114214114301
62233332542222001
7145442056046530
oct20514222340021
94041130336431
101144110301201
1140123a49017a
121658a0284901
1383b7358b70a
143d5378dc317
151eb63249c01
hex10a6249c011

1144110301201 has 32 divisors (see below), whose sum is σ = 1417437204480. Its totient is φ = 901024701696.

The previous prime is 1144110301193. The next prime is 1144110301231. The reversal of 1144110301201 is 1021030114411.

It is not a de Polignac number, because 1144110301201 - 23 = 1144110301193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1144110301231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9493560 + ... + 9613318.

It is an arithmetic number, because the mean of its divisors is an integer number (44294912640).

Almost surely, 21144110301201 is an apocalyptic number.

It is an amenable number.

1144110301201 is a deficient number, since it is larger than the sum of its proper divisors (273326903279).

1144110301201 is a wasteful number, since it uses less digits than its factorization.

1144110301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121693.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1144110301201 its reverse (1021030114411), we get a palindrome (2165140415612).

The spelling of 1144110301201 in words is "one trillion, one hundred forty-four billion, one hundred ten million, three hundred one thousand, two hundred one".

Divisors: 1 7 17 43 119 301 731 1867 5117 13069 31739 80281 119759 222173 561967 838313 1364777 2035903 5149637 9553439 14251321 36047459 87543829 223590053 612806803 1565130371 3801030901 9614372279 26607216307 67300605953 163444328743 1144110301201