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12221112202131 = 3728313811489057
BaseRepresentation
bin1011000111010111001100…
…0011010011001110010011
31121021022211022200210001010
42301311303003103032103
53100212314210432011
641554145035542003
72400642360510150
oct261656303231623
947238738623033
1012221112202131
113991a43263a38
1214546498ba903
136a85a494a351
1430370d97d227
15162d74aa71a6
hexb1d730d3393

12221112202131 has 32 divisors (see below), whose sum is σ = 18701996681728. Its totient is φ = 6953772395520.

The previous prime is 12221112202081. The next prime is 12221112202133. The reversal of 12221112202131 is 13120221112221.

It is not a de Polignac number, because 12221112202131 - 225 = 12221078647699 is a prime.

It is a super-2 number, since 2×122211122021312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221112202098 and 12221112202107.

It is not an unprimeable number, because it can be changed into a prime (12221112202133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7462755 + ... + 8951811.

It is an arithmetic number, because the mean of its divisors is an integer number (584437396304).

Almost surely, 212221112202131 is an apocalyptic number.

12221112202131 is a deficient number, since it is larger than the sum of its proper divisors (6480884479597).

12221112202131 is a wasteful number, since it uses less digits than its factorization.

12221112202131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490731.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12221112202131 its reverse (13120221112221), we get a palindrome (25341333314352).

The spelling of 12221112202131 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 283 849 1381 1981 4143 5943 9667 29001 390823 1172469 1489057 2735761 4467171 8207283 10423399 31270197 421403131 1264209393 2056387717 2949821917 6169163151 8849465751 14394714019 43184142057 581957723911 1745873171733 4073704067377 12221112202131