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131022522 = 234291672
BaseRepresentation
bin1111100111100…
…11111010111010
3100010112122010000
413303303322322
5232020210042
621000133430
73150446601
oct763637272
9303478100
10131022522
1167a60184
1237a67276
13211b6027
1413588a38
15b78174c
hex7cf3eba

131022522 has 60 divisors (see below), whose sum is σ = 305540730. Its totient is φ = 41915664.

The previous prime is 131022503. The next prime is 131022547. The reversal of 131022522 is 225220131.

It can be written as a sum of positive squares in only one way, i.e., 110691441 + 20331081 = 10521^2 + 4509^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131022495 and 131022504.

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 29 ways as a sum of consecutive naturals, for example, 784483 + ... + 784649.

Almost surely, 2131022522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131022522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152770365).

131022522 is an abundant number, since it is smaller than the sum of its proper divisors (174518208).

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

131022522 is an equidigital number, since it uses as much as digits as its factorization.

131022522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131022522 is about 11446.5069781135. The cubic root of 131022522 is about 507.9044114067.

Adding to 131022522 its reverse (225220131), we get a palindrome (356242653).

It can be divided in two parts, 1310 and 22522, that added together give a palindrome (23832).

The spelling of 131022522 in words is "one hundred thirty-one million, twenty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 167 174 261 334 501 522 783 1002 1503 1566 2349 3006 4509 4698 4843 9018 9686 13527 14529 27054 27889 29058 43587 55778 83667 87174 130761 167334 251001 261522 392283 502002 753003 784566 808781 1506006 1617562 2259009 2426343 4518018 4852686 7279029 14558058 21837087 43674174 65511261 131022522