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141201300 = 223524331087
BaseRepresentation
bin10000110101010…
…00111110010100
3100211200202202210
420122220332110
5242121420200
622002233420
73333122412
oct1032507624
9324622683
10141201300
1172782699
123b355870
132333b086
1414a782b2
15c5e2650
hex86a8f94

141201300 has 72 divisors (see below), whose sum is σ = 409862656. Its totient is φ = 37532160.

The previous prime is 141201299. The next prime is 141201317. The reversal of 141201300 is 3102141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 129357 + ... + 130443.

Almost surely, 2141201300 is an apocalyptic number.

141201300 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 141201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204931328).

141201300 is an abundant number, since it is smaller than the sum of its proper divisors (268661356).

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

141201300 is a wasteful number, since it uses less digits than its factorization.

141201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

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

The square root of 141201300 is about 11882.8153229780. The cubic root of 141201300 is about 520.7303593046.

Adding to 141201300 its reverse (3102141), we get a palindrome (144303441).

The spelling of 141201300 in words is "one hundred forty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 866 1087 1299 1732 2165 2174 2598 3261 4330 4348 5196 5435 6495 6522 8660 10825 10870 12990 13044 16305 21650 21740 25980 27175 32475 32610 43300 54350 64950 65220 81525 108700 129900 163050 326100 470671 941342 1412013 1882684 2353355 2824026 4706710 5648052 7060065 9413420 11766775 14120130 23533550 28240260 35300325 47067100 70600650 141201300