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27101317220 = 225232910511933
BaseRepresentation
bin11001001111010111…
…010100100001100100
32120221201220120010122
4121033113110201210
5421000414122340
620241123141112
71646411252435
oct311727244144
976851816118
1027101317220
1110547a9482a
125304214798
13272b995aa3
14145149748c
15a893e9db5
hex64f5d4864

27101317220 has 96 divisors (see below), whose sum is σ = 61525336320. Its totient is φ = 9996940800.

The previous prime is 27101317141. The next prime is 27101317241. The reversal of 27101317220 is 2271310172.

It is a self number, because there is not a number n which added to its sum of digits gives 27101317220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14019374 + ... + 14021306.

It is an arithmetic number, because the mean of its divisors is an integer number (640888920).

Almost surely, 227101317220 is an apocalyptic number.

27101317220 is a gapful number since it is divisible by the number (20) 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 27101317220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30762668160).

27101317220 is an abundant number, since it is smaller than the sum of its proper divisors (34424019100).

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

27101317220 is a wasteful number, since it uses less digits than its factorization.

27101317220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 27101317220 its reverse (2271310172), we get a palindrome (29372627392).

The spelling of 27101317220 in words is "twenty-seven billion, one hundred one million, three hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1051 1334 1933 2102 2668 3335 3866 4204 5255 6670 7732 9665 10510 13340 19330 21020 24173 30479 38660 44459 48346 56057 60958 88918 96692 112114 120865 121916 152395 177836 222295 224228 241730 280285 304790 444590 483460 560570 609580 701017 889180 1121140 1289311 1402034 2031583 2578622 2804068 3505085 4063166 5157244 6446555 7010170 8126332 10157915 12893110 14020340 20315830 25786220 40631660 46726409 58915907 93452818 117831814 186905636 233632045 235663628 294579535 467264090 589159070 934528180 1178318140 1355065861 2710131722 5420263444 6775329305 13550658610 27101317220