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11312010101 = 72233398953
BaseRepresentation
bin10101000100011111…
…11001001101110101
31002012100112122122002
422202033321031311
5141131333310401
65110251345045
7550215333200
oct124217711565
932170478562
1011312010101
114885375687
122238452185
1310b376bc02
147944cc937
15463171a6b
hex2a23f9375

11312010101 has 12 divisors (see below), whose sum is σ = 13164642252. Its totient is φ = 9691754688.

The previous prime is 11312010091. The next prime is 11312010131. The reversal of 11312010101 is 10101021311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4882375876 + 6429634225 = 69874^2 + 80185^2 .

It is a de Polignac number, because none of the positive numbers 2k-11312010101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312010131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 64841 + ... + 163793.

It is an arithmetic number, because the mean of its divisors is an integer number (1097053521).

Almost surely, 211312010101 is an apocalyptic number.

It is an amenable number.

11312010101 is a deficient number, since it is larger than the sum of its proper divisors (1852632151).

11312010101 is an equidigital number, since it uses as much as digits as its factorization.

11312010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101300 (or 101293 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11312010101 its reverse (10101021311), we get a palindrome (21413031412).

The spelling of 11312010101 in words is "eleven billion, three hundred twelve million, ten thousand, one hundred one".

Divisors: 1 7 49 2333 16331 98953 114317 692671 4848697 230857349 1616001443 11312010101