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271240100 = 225217159553
BaseRepresentation
bin10000001010101…
…100101110100100
3200220101102110122
4100022230232210
51023414140400
642525341112
76502334315
oct2012545644
9626342418
10271240100
1112a12077a
1276a07798
134426b401
142804860c
1518c2c685
hex102acba4

271240100 has 36 divisors (see below), whose sum is σ = 623217924. Its totient is φ = 102113280.

The previous prime is 271240063. The next prime is 271240121. The reversal of 271240100 is 1042172.

271240100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1032256 + 270207844 = 1016^2 + 16438^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78077 + ... + 81476.

It is an arithmetic number, because the mean of its divisors is an integer number (17311609).

Almost surely, 2271240100 is an apocalyptic number.

271240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271240100 is an abundant number, since it is smaller than the sum of its proper divisors (351977824).

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

271240100 is a wasteful number, since it uses less digits than its factorization.

271240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159584 (or 159577 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 271240100 is about 16469.3685367715. The cubic root of 271240100 is about 647.3184197883.

Adding to 271240100 its reverse (1042172), we get a palindrome (272282272).

The spelling of 271240100 in words is "two hundred seventy-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 159553 319106 638212 797765 1595530 2712401 3191060 3988825 5424802 7977650 10849604 13562005 15955300 27124010 54248020 67810025 135620050 271240100