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1131213031311 = 31171947676193
BaseRepresentation
bin10000011101100001100…
…011010000011110001111
311000010212011220001020110
4100131201203100132033
5122013211014000221
62223401101051103
7144504341054556
oct20354143203617
94003764801213
101131213031311
113a68212a1440
121632a0b56a93
138289957807c
143ca72a74d9d
151e65ad3b776
hex107618d078f

1131213031311 has 16 divisors (see below), whose sum is σ = 1647689264640. Its totient is φ = 684630117120.

The previous prime is 1131213031309. The next prime is 1131213031313. The reversal of 1131213031311 is 1131303121311.

It is an interprime number because it is at equal distance from previous prime (1131213031309) and next prime (1131213031313).

It is not a de Polignac number, because 1131213031311 - 21 = 1131213031309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131213031313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23814370 + ... + 23861823.

It is an arithmetic number, because the mean of its divisors is an integer number (102980579040).

Almost surely, 21131213031311 is an apocalyptic number.

1131213031311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131213031311 is a deficient number, since it is larger than the sum of its proper divisors (516476233329).

1131213031311 is a wasteful number, since it uses less digits than its factorization.

1131213031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47676926.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 1131213031311 its reverse (1131303121311), we get a palindrome (2262516152622).

The spelling of 1131213031311 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, thirty-one thousand, three hundred eleven".

Divisors: 1 3 11 33 719 2157 7909 23727 47676193 143028579 524438123 1573314369 34279182767 102837548301 377071010437 1131213031311