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131200002 = 23229376793
BaseRepresentation
bin1111101000111…
…11010000000010
3100010212122120100
413310133100002
5232041400002
621004023230
73152116203
oct764372002
9303778510
10131200002
116807155a
1237b31b16
1321248a4b
14135d35aa
15b7b911c
hex7d1f402

131200002 has 48 divisors (see below), whose sum is σ = 302061240. Its totient is φ = 41078016.

The previous prime is 131199989. The next prime is 131200007. The reversal of 131200002 is 200002131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112975641 + 18224361 = 10629^2 + 4269^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131200007) 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 23 ways as a sum of consecutive naturals, for example, 15918 + ... + 22710.

Almost surely, 2131200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151030620).

131200002 is an abundant number, since it is smaller than the sum of its proper divisors (170861238).

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

131200002 is a wasteful number, since it uses less digits than its factorization.

131200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131200002 is about 11454.2569379249. The cubic root of 131200002 is about 508.1336396910.

Adding to 131200002 its reverse (200002131), we get a palindrome (331202133).

It can be divided in two parts, 131 and 200002, that multiplied together give a palindrome (26200262).

The spelling of 131200002 in words is "one hundred thirty-one million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 6793 9657 13586 19314 20379 40758 61137 122274 196997 251341 393994 502682 590991 754023 1181982 1508046 1772973 2262069 3545946 4524138 7288889 14577778 21866667 43733334 65600001 131200002