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141240100 = 22523759647
BaseRepresentation
bin10000110101100…
…10011100100100
3100211202201222211
420122302130210
5242124140400
622003133204
73333343501
oct1032623444
9324681884
10141240100
11727a9861
123b374204
1323352931
1414a884a8
15c5eddba
hex86b2724

141240100 has 72 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 53953920.

The previous prime is 141240067. The next prime is 141240103. The reversal of 141240100 is 1042141.

It is not an unprimeable number, because it can be changed into a prime (141240103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217977 + ... + 218623.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2141240100 is an apocalyptic number.

141240100 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 141240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

141240100 is an abundant number, since it is smaller than the sum of its proper divisors (179364380).

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

141240100 is a wasteful number, since it uses less digits than its factorization.

141240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 141240100 is about 11884.4478205763. The cubic root of 141240100 is about 520.7780512347.

Adding to 141240100 its reverse (1042141), we get a palindrome (142282241).

The spelling of 141240100 in words is "one hundred forty-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 59 74 100 118 148 185 236 295 370 590 647 740 925 1180 1294 1475 1850 2183 2588 2950 3235 3700 4366 5900 6470 8732 10915 12940 16175 21830 23939 32350 38173 43660 47878 54575 64700 76346 95756 109150 119695 152692 190865 218300 239390 381730 478780 598475 763460 954325 1196950 1412401 1908650 2393900 2824802 3817300 5649604 7062005 14124010 28248020 35310025 70620050 141240100