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11106363442125 = 35375614975353
BaseRepresentation
bin1010000110011110011011…
…0110010000001111001101
31110022202110120020101002210
42201213212312100033031
52423431313020122000
635342105401141033
72224260016421250
oct241474666201715
943282416211083
1011106363442125
1135a2200691296
1212b45a278a779
136274303b0c63
142a579d7b1097
15143d7e3bd350
hexa19e6d903cd

11106363442125 has 64 divisors (see below), whose sum is σ = 21121786483200. Its totient is φ = 5077036915200.

The previous prime is 11106363442123. The next prime is 11106363442157. The reversal of 11106363442125 is 52124436360111.

11106363442125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11106363442125 - 21 = 11106363442123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106363442121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147353449 + ... + 147428801.

It is an arithmetic number, because the mean of its divisors is an integer number (330027913800).

Almost surely, 211106363442125 is an apocalyptic number.

11106363442125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11106363442125 is a deficient number, since it is larger than the sum of its proper divisors (10015423041075).

11106363442125 is an equidigital number, since it uses as much as digits as its factorization.

11106363442125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131527 (or 131517 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 11106363442125 in words is "eleven trillion, one hundred six billion, three hundred sixty-three million, four hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 56149 75353 168447 226059 280745 376765 393043 527471 842235 1130295 1179129 1403725 1582413 1883825 1965215 2637355 4211175 5651475 5895645 7018625 7912065 9419125 9826075 13186775 21055875 28257375 29478225 39560325 49130375 65933875 147391125 197801625 4230995597 12692986791 21154977985 29616969179 63464933955 88850907537 105774889925 148084845895 317324669775 444254537685 528874449625 740424229475 1586623348875 2221272688425 3702121147375 11106363442125