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20000011100 = 22522353191859
BaseRepresentation
bin10010101000000101…
…111111001101011100
31220121211112211110212
4102220011333031130
5311430000323400
613104325351552
71305422201156
oct225005771534
956554484425
1020000011100
1185335373a3
123a61b685b8
131b696ac9c4
14d7a2c9ad6
157c0c6e335
hex4a817f35c

20000011100 has 144 divisors (see below), whose sum is σ = 46437027840. Its totient is φ = 7459795200.

The previous prime is 20000011067. The next prime is 20000011133. The reversal of 20000011100 is 111000002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20000011067) and next prime (20000011133).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23282471 + ... + 23283329.

It is an arithmetic number, because the mean of its divisors is an integer number (322479360).

Almost surely, 220000011100 is an apocalyptic number.

20000011100 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 20000011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218513920).

20000011100 is an abundant number, since it is smaller than the sum of its proper divisors (26437016740).

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

20000011100 is a wasteful number, since it uses less digits than its factorization.

20000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 20000011100 its reverse (111000002), we get a palindrome (20111011102).

The spelling of 20000011100 in words is "twenty billion, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 191 212 230 265 382 460 530 575 764 859 955 1060 1150 1219 1325 1718 1910 2300 2438 2650 3436 3820 4295 4393 4775 4876 5300 6095 8590 8786 9550 10123 12190 17180 17572 19100 19757 20246 21475 21965 24380 30475 39514 40492 42950 43930 45527 50615 60950 79028 85900 87860 91054 98785 101230 109825 121900 164069 182108 197570 202460 219650 227635 232829 253075 328138 395140 439300 455270 465658 493925 506150 656276 820345 910540 931316 987850 1012300 1047121 1138175 1164145 1640690 1975700 2094242 2276350 2328290 3281380 3773587 4101725 4188484 4552700 4656580 5235605 5820725 7547174 8203450 8695657 10471210 11641450 15094348 16406900 17391314 18867935 20942420 23282900 26178025 34782628 37735870 43478285 52356050 75471740 86956570 94339675 104712100 173913140 188679350 200000111 217391425 377358700 400000222 434782850 800000444 869565700 1000000555 2000001110 4000002220 5000002775 10000005550 20000011100