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21012220201120 = 2552920872169859
BaseRepresentation
bin1001100011100010010011…
…11010111100100010100000
32202101202012202100110122021
410301301021322330202200
510223231011332413440
6112404514121551224
74266040255536301
oct461611172744240
982352182313567
1021012220201120
1167712615749a5
122434386045514
13b955a02221c5
14528dd56427a8
1526689936784a
hex131c49ebc8a0

21012220201120 has 96 divisors (see below), whose sum is σ = 51377771491200. Its totient is φ = 8111172228096.

The previous prime is 21012220201079. The next prime is 21012220201213. The reversal of 21012220201120 is 2110202221012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21012220201094 and 21012220201103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8598751 + ... + 10768609.

It is an arithmetic number, because the mean of its divisors is an integer number (535185119700).

Almost surely, 221012220201120 is an apocalyptic number.

21012220201120 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 21012220201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25688885745600).

21012220201120 is an abundant number, since it is smaller than the sum of its proper divisors (30365551290080).

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

21012220201120 is a wasteful number, since it uses less digits than its factorization.

21012220201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171990 (or 2171982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21012220201120 its reverse (2110202221012), we get a palindrome (23122422422132).

The spelling of 21012220201120 in words is "twenty-one trillion, twelve billion, two hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2087 2320 4174 4640 8348 10435 16696 20870 33392 41740 60523 66784 83480 121046 166960 242092 302615 333920 484184 605230 968368 1210460 1936736 2169859 2420920 4339718 4841840 8679436 9683680 10849295 17358872 21698590 34717744 43397180 62925911 69435488 86794360 125851822 173588720 251703644 314629555 347177440 503407288 629259110 1006814576 1258518220 2013629152 2517036440 4528495733 5034072880 9056991466 10068145760 18113982932 22642478665 36227965864 45284957330 72455931728 90569914660 131326376257 144911863456 181139829320 262652752514 362279658640 525305505028 656631881285 724559317280 1050611010056 1313263762570 2101222020112 2626527525140 4202444040224 5253055050280 10506110100560 21012220201120