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141301020 = 223571013331
BaseRepresentation
bin10000110110000…
…01010100011100
3100211212211120010
420123001110130
5242133113040
622004323220
73334016220
oct1033012434
9324784503
10141301020
1172840603
123b3a3510
1323374593
1414aa2780
15c611e80
hex86c151c

141301020 has 96 divisors (see below), whose sum is σ = 456777216. Its totient is φ = 31968000.

The previous prime is 141301019. The next prime is 141301031. The reversal of 141301020 is 20103141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 141300987 and 141301005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40755 + ... + 44085.

It is an arithmetic number, because the mean of its divisors is an integer number (4758096).

Almost surely, 2141301020 is an apocalyptic number.

141301020 is a gapful number since it is divisible by the number (10) 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 141301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228388608).

141301020 is an abundant number, since it is smaller than the sum of its proper divisors (315476196).

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

141301020 is a wasteful number, since it uses less digits than its factorization.

141301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 141301020 is about 11887.0105577475. The cubic root of 141301020 is about 520.8529148620.

Adding to 141301020 its reverse (20103141), we get a palindrome (161404161).

The spelling of 141301020 in words is "one hundred forty-one million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3331 3535 4242 6060 6662 7070 8484 9993 10605 13324 14140 16655 19986 21210 23317 33310 39972 42420 46634 49965 66620 69951 93268 99930 116585 139902 199860 233170 279804 336431 349755 466340 672862 699510 1009293 1345724 1399020 1682155 2018586 2355017 3364310 4037172 4710034 5046465 6728620 7065051 9420068 10092930 11775085 14130102 20185860 23550170 28260204 35325255 47100340 70650510 141301020