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1101232311311 = 115910118798941
BaseRepresentation
bin10000000001100110100…
…011111000110000001111
310220021110202212200001102
4100001212203320300033
5121020310432430221
62201522114133315
7142363364125616
oct20014643706017
93807422780042
101101232311311
11395036a267a0
1215951458123b
137cacc1a3772
143b42b00887d
151d9a3c7030b
hex100668f8c0f

1101232311311 has 32 divisors (see below), whose sum is σ = 1234596902400. Its totient is φ = 973780560000.

The previous prime is 1101232311191. The next prime is 1101232311313. The reversal of 1101232311311 is 1131132321011.

It is a cyclic number.

It is not a de Polignac number, because 1101232311311 - 218 = 1101232049167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101232311313) 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, 123162101 + ... + 123171041.

It is an arithmetic number, because the mean of its divisors is an integer number (38581153200).

Almost surely, 21101232311311 is an apocalyptic number.

1101232311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101232311311 is a deficient number, since it is larger than the sum of its proper divisors (133364591089).

1101232311311 is a wasteful number, since it uses less digits than its factorization.

1101232311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1101232311311 its reverse (1131132321011), we get a palindrome (2232364632322).

It can be divided in two parts, 11012 and 32311311, that added together give a palindrome (32322323).

The spelling of 1101232311311 in words is "one trillion, one hundred one billion, two hundred thirty-two million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 11 59 101 649 1111 1879 5959 8941 20669 65549 98351 110861 189779 527519 903041 1219471 2087569 5802709 9933451 11196961 16800139 53279419 123166571 184801529 586073609 991208201 1696814039 10903290211 18664954429 100112028301 1101232311311