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131022444 = 22372373929
BaseRepresentation
bin1111100111100…
…11111001101100
3100010112122000010
413303303321230
5232020204234
621000133220
73150446430
oct763637154
9303478003
10131022444
1167a60113
1237a67210
13211b5c97
14135889c0
15b7816e9
hex7cf3e6c

131022444 has 96 divisors (see below), whose sum is σ = 369976320. Its totient is φ = 35278848.

The previous prime is 131022443. The next prime is 131022473. The reversal of 131022444 is 444220131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131022444.

It is not an unprimeable number, because it can be changed into a prime (131022443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140572 + ... + 141500.

It is an arithmetic number, because the mean of its divisors is an integer number (3853920).

Almost surely, 2131022444 is an apocalyptic number.

131022444 is a gapful number since it is divisible by the number (14) 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 131022444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

131022444 is an abundant number, since it is smaller than the sum of its proper divisors (238953876).

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

131022444 is a wasteful number, since it uses less digits than its factorization.

131022444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 131022444 is about 11446.5035709600. The cubic root of 131022444 is about 507.9043106186.

Adding to 131022444 its reverse (444220131), we get a palindrome (575242575).

The spelling of 131022444 in words is "one hundred thirty-one million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 73 84 92 138 146 161 219 276 292 322 438 483 511 644 876 929 966 1022 1533 1679 1858 1932 2044 2787 3066 3358 3716 5037 5574 6132 6503 6716 10074 11148 11753 13006 19509 20148 21367 23506 26012 35259 39018 42734 47012 64101 67817 70518 78036 85468 128202 135634 141036 149569 203451 256404 271268 299138 406902 448707 474719 598276 813804 897414 949438 1424157 1559791 1794828 1898876 2848314 3119582 4679373 5696628 6239164 9358746 10918537 18717492 21837074 32755611 43674148 65511222 131022444