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132111010312105 = 5112218365306301
BaseRepresentation
bin11110000010011101111101…
…110101110010111110101001
3122022202200121110100021202211
4132002131331311302332221
5114304001322114441410
61144550543231125121
736553463664250366
oct3602357565627651
9568680543307684
10132111010312105
1139104a68215600
1212997bba0737a1
135894026724266
14248a2c80a546d
15104179d1da68a
hex78277dd72fa9

132111010312105 has 12 divisors (see below), whose sum is σ = 174255514428996. Its totient is φ = 96080734772000.

The previous prime is 132111010312091. The next prime is 132111010312153. The reversal of 132111010312105 is 501213010111231.

It can be written as a sum of positive squares in 2 ways, for example, as 56153981011216 + 75957029300889 = 7493596^2 + 8715333^2 .

It is not a de Polignac number, because 132111010312105 - 219 = 132111009787817 is a prime.

It is a super-2 number, since 2×1321110103121052 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109182652546 + ... + 109182653755.

It is an arithmetic number, because the mean of its divisors is an integer number (14521292869083).

Almost surely, 2132111010312105 is an apocalyptic number.

It is an amenable number.

132111010312105 is a deficient number, since it is larger than the sum of its proper divisors (42144504116891).

132111010312105 is a wasteful number, since it uses less digits than its factorization.

132111010312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218365306328 (or 218365306317 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 132111010312105 its reverse (501213010111231), we get a palindrome (633324020423336).

The spelling of 132111010312105 in words is "one hundred thirty-two trillion, one hundred eleven billion, ten million, three hundred twelve thousand, one hundred five".

Divisors: 1 5 11 55 121 605 218365306301 1091826531505 2402018369311 12010091846555 26422202062421 132111010312105