Search a number
-
+
20010211101000 = 2332532223356789
BaseRepresentation
bin1001000110010111111011…
…00001100100100101001000
32121211221212000110011220200
410203023331201210211020
510110321403020213000
6110320321501252200
74133455453654431
oct443137541444510
977757760404820
1020010211101000
11641531255738a
1222b2143264060
13b21c54944233
144d26dc452488
1524a7a1542500
hex1232fd864948

20010211101000 has 96 divisors (see below), whose sum is σ = 67634513551800. Its totient is φ = 5336056291200.

The previous prime is 20010211100983. The next prime is 20010211101011. The reversal of 20010211101000 is 10111201002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3668841438084 + 16341369662916 = 1915422^2 + 4042446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111669395 + ... + 1111687394.

Almost surely, 220010211101000 is an apocalyptic number.

20010211101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010211101000 is an abundant number, since it is smaller than the sum of its proper divisors (47624302450800).

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

20010211101000 is a wasteful number, since it uses less digits than its factorization.

20010211101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223356816 (or 2223356799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20010211101000 its reverse (10111201002), we get a palindrome (20020322302002).

The spelling of 20010211101000 in words is "twenty trillion, ten billion, two hundred eleven million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2223356789 4446713578 6670070367 8893427156 11116783945 13340140734 17786854312 20010211101 22233567890 26680281468 33350351835 40020422202 44467135780 53360562936 55583919725 66700703670 80040844404 88934271560 100051055505 111167839450 133401407340 160081688808 166751759175 200102111010 222335678900 266802814680 277919598625 333503518350 400204222020 444671357800 500255277525 555839197250 667007036700 800408444040 833758795875 1000510555050 1111678394500 1334014073400 1667517591750 2001021110100 2223356789000 2501276387625 3335035183500 4002042220200 5002552775250 6670070367000 10005105550500 20010211101000