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131224212210 = 235713375997227
BaseRepresentation
bin111101000110110010…
…0101001001011110010
3110112201020111200001210
41322031210221023302
54122221344242320
6140141130140550
712323600254110
oct1721544511362
9415636450053
10131224212210
1150719712963
1221522881756
13c4b36c5760
1464cbcdcab0
1536305830e0
hex1e8d9292f2

131224212210 has 512 divisors, whose sum is σ = 410814996480. Its totient is φ = 26093518848.

The previous prime is 131224212191. The next prime is 131224212221. The reversal of 131224212210 is 12212422131.

It is a happy number.

It is a super-2 number, since 2×1312242122102 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 578080117 + ... + 578080343.

It is an arithmetic number, because the mean of its divisors is an integer number (802373040).

Almost surely, 2131224212210 is an apocalyptic number.

131224212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205407498240).

131224212210 is an abundant number, since it is smaller than the sum of its proper divisors (279590784270).

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

131224212210 is a wasteful number, since it uses less digits than its factorization.

131224212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 131224212210 its reverse (12212422131), we get a palindrome (143436634341).

The spelling of 131224212210 in words is "one hundred thirty-one billion, two hundred twenty-four million, two hundred twelve thousand, two hundred ten".