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141013300 = 225217109761
BaseRepresentation
bin10000110011110…
…11000100110100
3100211100012212211
420121323010310
5242044411200
621554223204
73331410331
oct1031730464
9324305784
10141013300
117266441a
123b284b04
13232a362c
1414a29988
15c5a6aba
hex867b134

141013300 has 72 divisors (see below), whose sum is σ = 327400920. Its totient is φ = 52531200.

The previous prime is 141013261. The next prime is 141013319. The reversal of 141013300 is 3310141.

It can be written as a sum of positive squares in 12 ways, for example, as 52012944 + 89000356 = 7212^2 + 9434^2 .

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, 184920 + ... + 185680.

It is an arithmetic number, because the mean of its divisors is an integer number (4547235).

Almost surely, 2141013300 is an apocalyptic number.

141013300 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 141013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163700460).

141013300 is an abundant number, since it is smaller than the sum of its proper divisors (186387620).

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

141013300 is a wasteful number, since it uses less digits than its factorization.

141013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 141013300 is about 11874.9021048596. The cubic root of 141013300 is about 520.4991508865.

Adding to 141013300 its reverse (3310141), we get a palindrome (144323441).

The spelling of 141013300 in words is "one hundred forty-one million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 170 218 340 425 436 545 761 850 1090 1522 1700 1853 2180 2725 3044 3706 3805 5450 7412 7610 9265 10900 12937 15220 18530 19025 25874 37060 38050 46325 51748 64685 76100 82949 92650 129370 165898 185300 258740 323425 331796 414745 646850 829490 1293700 1410133 1658980 2073725 2820266 4147450 5640532 7050665 8294900 14101330 28202660 35253325 70506650 141013300