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12233010101 = 134395322963
BaseRepresentation
bin10110110010010010…
…01110101110110101
31011120112120022010012
423121021032232311
5200023122310401
65341511510005
7612100604324
oct133111165665
934515508105
1012233010101
115208240604
122454988305
1311cc508c20
148409540bb
154b8e4a8bb
hex2d924ebb5

12233010101 has 16 divisors (see below), whose sum is σ = 13495116096. Its totient is φ = 11017351296.

The previous prime is 12233010047. The next prime is 12233010121. The reversal of 12233010101 is 10101033221.

It is a de Polignac number, because none of the positive numbers 2k-12233010101 is a prime.

It is a super-2 number, since 2×122330101012 (a number of 21 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 (12233010121) 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 15 ways as a sum of consecutive naturals, for example, 521246 + ... + 544208.

It is an arithmetic number, because the mean of its divisors is an integer number (843444756).

Almost surely, 212233010101 is an apocalyptic number.

It is an amenable number.

12233010101 is a deficient number, since it is larger than the sum of its proper divisors (1262105995).

12233010101 is a wasteful number, since it uses less digits than its factorization.

12233010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23972.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12233010101 its reverse (10101033221), we get a palindrome (22334043322).

The spelling of 12233010101 in words is "twelve billion, two hundred thirty-three million, ten thousand, one hundred one".

Divisors: 1 13 43 559 953 12389 22963 40979 298519 532727 987409 12836317 21883739 284488607 941000777 12233010101