Search a number
-
+
12172271020 = 2257137984659
BaseRepresentation
bin10110101011000011…
…00001110110101100
31011102022021102202121
423111201201312230
5144412100133040
65331502002324
7610432411420
oct132541416654
934368242677
1012172271020
115186a25418
1224385763a4
1311bca60740
14836862b80
154b394dc4a
hex2d5861dac

12172271020 has 96 divisors (see below), whose sum is σ = 31859251200. Its totient is φ = 3803514624.

The previous prime is 12172271011. The next prime is 12172271021. The reversal of 12172271020 is 2017227121.

12172271020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12172271021) by changing a digit.

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, 101451 + ... + 186109.

It is an arithmetic number, because the mean of its divisors is an integer number (331867200).

Almost surely, 212172271020 is an apocalyptic number.

12172271020 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 12172271020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929625600).

12172271020 is an abundant number, since it is smaller than the sum of its proper divisors (19686980180).

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

12172271020 is a wasteful number, since it uses less digits than its factorization.

12172271020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84767 (or 84765 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 12172271020 its reverse (2017227121), we get a palindrome (14189498141).

The spelling of 12172271020 in words is "twelve billion, one hundred seventy-two million, two hundred seventy-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1580 1820 2054 2212 2765 4108 5135 5530 7189 10270 11060 14378 20540 28756 35945 71890 84659 143780 169318 338636 423295 592613 846590 1100567 1185226 1693180 2201134 2370452 2963065 4402268 5502835 5926130 6688061 7703969 11005670 11852260 13376122 15407938 22011340 26752244 30815876 33440305 38519845 46816427 66880610 77039690 86944793 93632854 133761220 154079380 173889586 187265708 234082135 347779172 434723965 468164270 608613551 869447930 936328540 1217227102 1738895860 2434454204 3043067755 6086135510 12172271020