Search a number
-
+
12202112131 = 114131678543
BaseRepresentation
bin10110101110100110…
…10111010010000011
31011111101102112001221
423113103113102003
5144442220042011
65334445335511
7611244145636
oct132723272203
934441375057
1012202112131
1151a18574a0
122446567597
1311c5cab2c1
1483a7cdc1d
154b6395971
hex2d74d7483

12202112131 has 16 divisors (see below), whose sum is σ = 13641965568. Its totient is φ = 10817588800.

The previous prime is 12202112119. The next prime is 12202112141. The reversal of 12202112131 is 13121120221.

It is a cyclic number.

It is not a de Polignac number, because 12202112131 - 217 = 12201981059 is a prime.

It is a super-2 number, since 2×122021121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12202112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1424046 + ... + 1432588.

It is an arithmetic number, because the mean of its divisors is an integer number (852622848).

Almost surely, 212202112131 is an apocalyptic number.

12202112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12202112131 is a deficient number, since it is larger than the sum of its proper divisors (1439853437).

12202112131 is a wasteful number, since it uses less digits than its factorization.

12202112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12202112131 its reverse (13121120221), we get a palindrome (25323232352).

The spelling of 12202112131 in words is "twelve billion, two hundred two million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 11 41 451 3167 8543 34837 93973 129847 350263 1428317 3852893 27055681 297612491 1109282921 12202112131