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12771373110 = 2353767113011
BaseRepresentation
bin10111110010011101…
…11011000000110110
31012222001120222022220
423321032323000312
5202123432414420
65511142503210
7631325610636
oct137116730066
935861528286
1012771373110
11546411a711
122585134b06
131286c03712
148922546c6
154eb340840
hex2f93bb036

12771373110 has 32 divisors (see below), whose sum is σ = 30659703552. Its totient is φ = 3404765280.

The previous prime is 12771373091. The next prime is 12771373123. The reversal of 12771373110 is 1137317721.

It is a super-2 number, since 2×127713731102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 56505 + ... + 169515.

It is an arithmetic number, because the mean of its divisors is an integer number (958115736).

Almost surely, 212771373110 is an apocalyptic number.

12771373110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 113010×113011.

12771373110 is an abundant number, since it is smaller than the sum of its proper divisors (17888330442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12771373110 is a wasteful number, since it uses less digits than its factorization.

12771373110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116788.

The product of its (nonzero) digits is 6174, while the sum is 33.

It can be divided in two parts, 12771 and 373110, that added together give a triangular number (385881 = T878).

The spelling of 12771373110 in words is "twelve billion, seven hundred seventy-one million, three hundred seventy-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 3767 7534 11301 18835 22602 37670 56505 113010 113011 226022 339033 565055 678066 1130110 1695165 3390330 425712437 851424874 1277137311 2128562185 2554274622 4257124370 6385686555 12771373110