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131222120 = 23547223313
BaseRepresentation
bin1111101001001…
…00101001101000
3100010220202220112
413310210221220
5232043101440
621004313452
73152240531
oct764445150
9303822815
10131222120
1168087137
1237b42888
1321255b33
14135db688
15b7c0965
hex7d24a68

131222120 has 64 divisors (see below), whose sum is σ = 303851520. Its totient is φ = 50978304.

The previous prime is 131222093. The next prime is 131222123. The reversal of 131222120 is 21222131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131222095 and 131222104.

It is not an unprimeable number, because it can be changed into a prime (131222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419084 + ... + 419396.

It is an arithmetic number, because the mean of its divisors is an integer number (4747680).

Almost surely, 2131222120 is an apocalyptic number.

131222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151925760).

131222120 is an abundant number, since it is smaller than the sum of its proper divisors (172629400).

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

131222120 is a wasteful number, since it uses less digits than its factorization.

131222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

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

The square root of 131222120 is about 11455.2223898098. Note that the first 3 decimals coincide. The cubic root of 131222120 is about 508.1621922016.

Adding to 131222120 its reverse (21222131), we get a palindrome (152444251).

It can be divided in two parts, 1312 and 22120, that added together give a palindrome (23432).

The spelling of 131222120 in words is "one hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 223 235 313 376 446 470 626 892 940 1115 1252 1565 1784 1880 2230 2504 3130 4460 6260 8920 10481 12520 14711 20962 29422 41924 52405 58844 69799 73555 83848 104810 117688 139598 147110 209620 279196 294220 348995 419240 558392 588440 697990 1395980 2791960 3280553 6561106 13122212 16402765 26244424 32805530 65611060 131222120