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1131130111111 = 711133191354121
BaseRepresentation
bin10000011101011100100…
…110111100010010000111
311000010122101212021002221
4100131130212330102013
5122013023302023421
62223344535513211
7144502313206660
oct20353446742207
94003571767087
101131130111111
113a6789506250
12163279228807
1382885334770
143ca65a4c367
151e65390c841
hex1075c9bc487

1131130111111 has 32 divisors (see below), whose sum is σ = 1519200377856. Its totient is φ = 813342816000.

The previous prime is 1131130111109. The next prime is 1131130111183. The reversal of 1131130111111 is 1111110311311.

It is a happy number.

It is not a de Polignac number, because 1131130111111 - 21 = 1131130111109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131130114111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3017131 + ... + 3371251.

It is an arithmetic number, because the mean of its divisors is an integer number (47475011808).

Almost surely, 21131130111111 is an apocalyptic number.

1131130111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131130111111 is a deficient number, since it is larger than the sum of its proper divisors (388070266745).

1131130111111 is a wasteful number, since it uses less digits than its factorization.

1131130111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357343.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 1131130111111 its reverse (1111110311311), we get a palindrome (2242240422422).

The spelling of 1131130111111 in words is "one trillion, one hundred thirty-one billion, one hundred thirty million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 3191 22337 35101 41483 245707 290381 354121 456313 2478847 3194191 3895331 4603573 27267317 32225011 50639303 354475121 1130000111 7910000777 12430001221 14690001443 87010008547 102830010101 161590015873 1131130111111