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131222201 = 1121763793
BaseRepresentation
bin1111101001001…
…00101010111001
3100010220210000112
413310210222321
5232043102301
621004314105
73152241005
oct764445271
9303823015
10131222201
1168087200
1237b42935
1321255b96
14135db705
15b7c09bb
hex7d24ab9

131222201 has 12 divisors (see below), whose sum is σ = 152722836. Its totient is φ = 112273920.

The previous prime is 131222183. The next prime is 131222209. The reversal of 131222201 is 102222131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118831801 + 12390400 = 10901^2 + 3520^2 .

It is not a de Polignac number, because 131222201 - 210 = 131221177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131222209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29840 + ... + 33953.

It is an arithmetic number, because the mean of its divisors is an integer number (12726903).

Almost surely, 2131222201 is an apocalyptic number.

131222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131222201 is a deficient number, since it is larger than the sum of its proper divisors (21500635).

131222201 is a wasteful number, since it uses less digits than its factorization.

131222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63832 (or 63821 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131222201 is about 11455.2259253146. The cubic root of 131222201 is about 508.1622967600.

Adding to 131222201 its reverse (102222131), we get a palindrome (233444332).

The spelling of 131222201 in words is "one hundred thirty-one million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 11 17 121 187 2057 63793 701723 1084481 7718953 11929291 131222201