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11130322303111 = 1123613701194867
BaseRepresentation
bin1010000111110111101011…
…1010000011100010000111
31110102001022022001121200111
42201331322322003202013
52424324400002144421
635401111030453451
72226065522401024
oct241757272034207
943361268047614
1011130322303111
113601385856150
1212b916a504287
1362977b00518b
142a69d377c54b
151447d2984ee1
hexa1f7ae83887

11130322303111 has 32 divisors (see below), whose sum is σ = 12881342255616. Its totient is φ = 9517255440000.

The previous prime is 11130322303091. The next prime is 11130322303117.

11130322303111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11130322303111 is a prime.

It is a super-2 number, since 2×111303223031112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130322303117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57020100 + ... + 57214966.

It is an arithmetic number, because the mean of its divisors is an integer number (402541945488).

Almost surely, 211130322303111 is an apocalyptic number.

11130322303111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11130322303111 is a deficient number, since it is larger than the sum of its proper divisors (1751019952505).

11130322303111 is a wasteful number, since it uses less digits than its factorization.

11130322303111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198663.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1113032 and 2303111, that added together give a palindrome (3416143).

The spelling of 11130322303111 in words is "eleven trillion, one hundred thirty billion, three hundred twenty-two million, three hundred three thousand, one hundred eleven".

Divisors: 1 11 23 61 253 671 1403 3701 15433 40711 85123 194867 225761 936353 2143537 2483371 4481941 5192503 11886887 49301351 57117533 130755757 273398401 721202767 3007382411 7933230437 16587663641 43993368787 182464300051 483927056657 1011847482101 11130322303111