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12102210018 = 23219239148061
BaseRepresentation
bin10110100010101100…
…10001000111100010
31011020102102222010200
423101112101013202
5144241131210033
65320520210030
7605622042063
oct132126210742
934212388120
1012102210018
115150422568
122419009916
1311ab3a0222
1482b42656a
154ac710013
hex2d15911e2

12102210018 has 48 divisors (see below), whose sum is σ = 27717206400. Its totient is φ = 3805734240.

The previous prime is 12102210017. The next prime is 12102210049. The reversal of 12102210018 is 81001220121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12102210011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7708 + ... + 155768.

It is an arithmetic number, because the mean of its divisors is an integer number (577441800).

Almost surely, 212102210018 is an apocalyptic number.

12102210018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102210018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858603200).

12102210018 is an abundant number, since it is smaller than the sum of its proper divisors (15614996382).

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

12102210018 is a wasteful number, since it uses less digits than its factorization.

12102210018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148327 (or 148324 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102210018 its reverse (81001220121), we get a palindrome (93103430139).

The spelling of 12102210018 in words is "twelve billion, one hundred two million, two hundred ten thousand, eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 239 342 478 717 1434 2151 4302 4541 9082 13623 27246 40869 81738 148061 296122 444183 888366 1332549 2665098 2813159 5626318 8439477 16878954 25318431 35386579 50636862 70773158 106159737 212319474 318479211 636958422 672345001 1344690002 2017035003 4034070006 6051105009 12102210018