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4131000330 = 2351923315103
BaseRepresentation
bin1111011000111010…
…0001000000001010
3101122220012120010020
43312032201000022
531430014002310
61521525401310
7204240631512
oct36616410012
911586176106
104131000330
11182a929766
12973569236
1350aaca5c2
142b28d4842
15192a00170
hexf63a100a

4131000330 has 64 divisors (see below), whose sum is σ = 10889994240. Its totient is φ = 998243136.

The previous prime is 4131000329. The next prime is 4131000331. The reversal of 4131000330 is 330001314.

It is an interprime number because it is at equal distance from previous prime (4131000329) and next prime (4131000331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4131000331) 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 31 ways as a sum of consecutive naturals, for example, 144442 + ... + 170661.

It is an arithmetic number, because the mean of its divisors is an integer number (170156160).

Almost surely, 24131000330 is an apocalyptic number.

4131000330 is an abundant number, since it is smaller than the sum of its proper divisors (6758993910).

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

4131000330 is a wasteful number, since it uses less digits than its factorization.

4131000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315155.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 4131000330 is about 64272.8584240658. The cubic root of 4131000330 is about 1604.5444150975.

Adding to 4131000330 its reverse (330001314), we get a palindrome (4461001644).

The spelling of 4131000330 in words is "four billion, one hundred thirty-one million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 690 874 1311 2185 2622 4370 6555 13110 315103 630206 945309 1575515 1890618 3151030 4726545 5986957 7247369 9453090 11973914 14494738 17960871 21742107 29934785 35921742 36236845 43484214 59869570 72473690 89804355 108710535 137700011 179608710 217421070 275400022 413100033 688500055 826200066 1377000110 2065500165 4131000330