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1131311014041 = 31330794488517
BaseRepresentation
bin10000011101100111011…
…001000010000010011001
311000011010000021002021110
4100131213121002002121
5122013411104422131
62223414521130533
7144506640645525
oct20354731020231
94004100232243
101131311014041
113a68716352aa
12163309929a49
13828b3963610
143ca81a9cd85
151e664743646
hex10767642099

1131311014041 has 16 divisors (see below), whose sum is σ = 1629737958464. Its totient is φ = 693923661504.

The previous prime is 1131311014037. The next prime is 1131311014051. The reversal of 1131311014041 is 1404101131311.

It is not a de Polignac number, because 1131311014041 - 22 = 1131311014037 is a prime.

It is a super-2 number, since 2×11313110140412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131311013999 and 1131311014017.

It is not an unprimeable number, because it can be changed into a prime (1131311014021) 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, 47232286 + ... + 47256231.

It is an arithmetic number, because the mean of its divisors is an integer number (101858622404).

Almost surely, 21131311014041 is an apocalyptic number.

It is an amenable number.

1131311014041 is a deficient number, since it is larger than the sum of its proper divisors (498426944423).

1131311014041 is a wasteful number, since it uses less digits than its factorization.

1131311014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94488840.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1131311014041 its reverse (1404101131311), we get a palindrome (2535412145352).

The spelling of 1131311014041 in words is "one trillion, one hundred thirty-one billion, three hundred eleven million, fourteen thousand, forty-one".

Divisors: 1 3 13 39 307 921 3991 11973 94488517 283465551 1228350721 3685052163 29007974719 87023924157 377103671347 1131311014041