Search a number
-
+
20011000120 = 2354753229877
BaseRepresentation
bin10010101000101111…
…111010000100111000
31220122121020010120121
4102220233322010320
5311440304000440
613105401103024
71305614460136
oct225057720470
956577203517
1020011000120
118539762631
123a65787a74
131b6ba59797
14d7b94a756
157c1be034a
hex4a8bfa138

20011000120 has 128 divisors (see below), whose sum is σ = 47108563200. Its totient is φ = 7643990016.

The previous prime is 20011000111. The next prime is 20011000147. The reversal of 20011000120 is 2100011002.

It is a super-3 number, since 3×200110001203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 22817122 + ... + 22817998.

It is an arithmetic number, because the mean of its divisors is an integer number (368035650).

Almost surely, 220011000120 is an apocalyptic number.

20011000120 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 20011000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554281600).

20011000120 is an abundant number, since it is smaller than the sum of its proper divisors (27097563080).

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

20011000120 is a wasteful number, since it uses less digits than its factorization.

20011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20011000120 its reverse (2100011002), we get a palindrome (22111011122).

The spelling of 20011000120 in words is "twenty billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 47 53 94 106 188 212 229 235 265 376 424 458 470 530 877 916 940 1060 1145 1754 1832 1880 2120 2290 2491 3508 4385 4580 4982 7016 8770 9160 9964 10763 12137 12455 17540 19928 21526 24274 24910 35080 41219 43052 46481 48548 49820 53815 60685 82438 86104 92962 97096 99640 107630 121370 164876 185924 200833 206095 215260 232405 242740 329752 371848 401666 412190 430520 464810 485480 570439 803332 824380 929620 1004165 1140878 1606664 1648760 1859240 2008330 2184607 2281756 2852195 4016660 4369214 4563512 5704390 8033320 8738428 9439151 10644149 10923035 11408780 17476856 18878302 21288298 21846070 22817560 37756604 42576596 43692140 47195755 53220745 75513208 85153192 87384280 94391510 106441490 188783020 212882980 377566040 425765960 500275003 1000550006 2001100012 2501375015 4002200024 5002750030 10005500060 20011000120