Search a number
-
+
2120201112220 = 22529101178920231
BaseRepresentation
bin11110110110100101110…
…101011000101010011100
321111200121110110000120021
4132312211311120222130
5234214132441042340
64302001300001524
7306115363046332
oct36664565305234
97450543400507
102120201112220
11748199288554
122a2aab0902a4
13124c1b305049
14748927c7b52
153a24095be4a
hex1eda5d58a9c

2120201112220 has 96 divisors (see below), whose sum is σ = 4654387785600. Its totient is φ = 810235776000.

The previous prime is 2120201112203. The next prime is 2120201112251. The reversal of 2120201112220 is 222111020212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120201112194 and 2120201112203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104789505 + ... + 104809735.

It is an arithmetic number, because the mean of its divisors is an integer number (48483206100).

Almost surely, 22120201112220 is an apocalyptic number.

2120201112220 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 2120201112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327193892800).

2120201112220 is an abundant number, since it is smaller than the sum of its proper divisors (2534186673380).

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

2120201112220 is a wasteful number, since it uses less digits than its factorization.

2120201112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22157 counting only the distinct ones).

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

Adding to 2120201112220 its reverse (222111020212), we get a palindrome (2342312132432).

The spelling of 2120201112220 in words is "two trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 1789 2020 2929 3578 5858 7156 8945 11716 14645 17890 20231 29290 35780 40462 51881 58580 80924 101155 103762 180689 202310 207524 259405 361378 404620 518810 586699 722756 903445 1037620 1173398 1806890 2043331 2346796 2933495 3613780 4086662 5239981 5866990 8173324 10216655 10479962 11733980 20433310 20959924 26199905 36193259 40866620 52399810 59256599 72386518 104799620 118513198 144773036 180966295 237026396 296282995 361932590 592565990 723865180 1049604511 1185131980 2099209022 3655519159 4198418044 5248022555 7311038318 10496045110 14622076636 18277595795 20992090220 36555191590 73110383180 106010055611 212020111222 424040222444 530050278055 1060100556110 2120201112220