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81313002 = 23244910061
BaseRepresentation
bin1001101100010…
…11110011101010
312200000010110200
410312023303222
5131304004002
612022453030
72005102101
oct466136352
9180003420
1081313002
1141998731
1223294176
1313accc04
14ab29038
157212b1c
hex4d8bcea

81313002 has 24 divisors (see below), whose sum is σ = 176588100. Its totient is φ = 27041280.

The previous prime is 81312997. The next prime is 81313007. The reversal of 81313002 is 20031318.

It is an interprime number because it is at equal distance from previous prime (81312997) and next prime (81313007).

It can be written as a sum of positive squares in 2 ways, for example, as 80622441 + 690561 = 8979^2 + 831^2 .

It is a super-2 number, since 2×813130022 = 13223608588504008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (81313007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3052 + ... + 13112.

Almost surely, 281313002 is an apocalyptic number.

81313002 is an abundant number, since it is smaller than the sum of its proper divisors (95275098).

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

81313002 is a wasteful number, since it uses less digits than its factorization.

81313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 81313002 is about 9017.3722336388. The cubic root of 81313002 is about 433.2314720474.

It can be divided in two parts, 8 and 1313002, that added together give a triangular number (1313010 = T1620).

The spelling of 81313002 in words is "eighty-one million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 8082 10061 20122 30183 60366 90549 181098 4517389 9034778 13552167 27104334 40656501 81313002