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27120037100 = 225213171227151
BaseRepresentation
bin11001010000011110…
…101110110011101100
32121000001010121222112
4121100132232303230
5421020212141400
620243032303152
71650026340362
oct312036566354
977001117875
1027120037100
1110557610302
12530a541ab8
13273281b640
141453b6b632
15a8ad96835
hex6507aecec

27120037100 has 72 divisors (see below), whose sum is σ = 67105579968. Its totient is φ = 9424512000.

The previous prime is 27120037027. The next prime is 27120037141. The reversal of 27120037100 is 173002172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591476 + ... + 635675.

It is an arithmetic number, because the mean of its divisors is an integer number (932021944).

Almost surely, 227120037100 is an apocalyptic number.

27120037100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27120037100 is an abundant number, since it is smaller than the sum of its proper divisors (39985542868).

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

27120037100 is a wasteful number, since it uses less digits than its factorization.

27120037100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227195 (or 1227188 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

Adding to 27120037100 its reverse (173002172), we get a palindrome (27293039272).

The spelling of 27120037100 in words is "twenty-seven billion, one hundred twenty million, thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 11050 22100 1227151 2454302 4908604 6135755 12271510 15952963 20861567 24543020 30678775 31905926 41723134 61357550 63811852 79764815 83446268 104307835 122715100 159529630 208615670 271200371 319059260 398824075 417231340 521539175 542400742 797648150 1043078350 1084801484 1356001855 1595296300 2086156700 2712003710 5424007420 6780009275 13560018550 27120037100