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1311102022241 = 1110110323574861
BaseRepresentation
bin10011000101000011110…
…001010011001001100001
311122100011221202121200002
4103011003301103021201
5132440114104202431
62442151214305345
7163503221211224
oct23050361231141
94570157677602
101311102022241
11466042a02890
121921254b8255
13968371c2b7b
1447659c155bb
15241889183cb
hex13143c53261

1311102022241 has 32 divisors (see below), whose sum is σ = 1459397212416. Its totient is φ = 1167916320000.

The previous prime is 1311102022213. The next prime is 1311102022291. The reversal of 1311102022241 is 1422202011131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1311102022241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311102022291) 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 31 ways as a sum of consecutive naturals, for example, 269716151 + ... + 269721011.

It is an arithmetic number, because the mean of its divisors is an integer number (45606162888).

Almost surely, 21311102022241 is an apocalyptic number.

1311102022241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311102022241 is a deficient number, since it is larger than the sum of its proper divisors (148295190175).

1311102022241 is a wasteful number, since it uses less digits than its factorization.

1311102022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433.

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

Adding to 1311102022241 its reverse (1422202011131), we get a palindrome (2733304033372).

The spelling of 1311102022241 in words is "one trillion, three hundred eleven billion, one hundred two million, twenty-two thousand, two hundred forty-one".

Divisors: 1 11 101 103 1111 1133 2357 4861 10403 25927 53471 114433 238057 242771 490961 500683 2618627 2670481 5400571 5507513 11457377 24519871 50568983 126031147 269718581 556258813 1157195077 1180109831 12729145847 12981208141 119191092931 1311102022241