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1131020100111 = 311149322956019
BaseRepresentation
bin10000011101010110000…
…011010010001000001111
311000010100201212010101110
4100131112003102020033
5122012312121200421
62223330005543103
7144466506141126
oct20352603221017
94003321763343
101131020100111
113a67323a7370
12163248414a93
13828685c73b5
143ca551b2abd
151e648e2ba76
hex107560d220f

1131020100111 has 16 divisors (see below), whose sum is σ = 1646222106240. Its totient is φ = 685007577120.

The previous prime is 1131020100107. The next prime is 1131020100121. The reversal of 1131020100111 is 1110010201311.

It is not a de Polignac number, because 1131020100111 - 22 = 1131020100107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131020100121) 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 15 ways as a sum of consecutive naturals, for example, 11428741 + ... + 11527278.

It is an arithmetic number, because the mean of its divisors is an integer number (102888881640).

Almost surely, 21131020100111 is an apocalyptic number.

1131020100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131020100111 is a deficient number, since it is larger than the sum of its proper divisors (515202006129).

1131020100111 is a wasteful number, since it uses less digits than its factorization.

1131020100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22957526.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 1131020100111 its reverse (1110010201311), we get a palindrome (2241030301422).

The spelling of 1131020100111 in words is "one trillion, one hundred thirty-one billion, twenty million, one hundred thousand, one hundred eleven".

Divisors: 1 3 11 33 1493 4479 16423 49269 22956019 68868057 252516209 757548627 34273336367 102820009101 377006700037 1131020100111