Search a number
-
+
2221001001100 = 2252727771142549
BaseRepresentation
bin100000010100011101111…
…110011100100010001100
321212022210101012221002001
4200110131332130202030
5242342102224013400
64420151435242044
7316314322006360
oct40243576344214
97768711187061
102221001001100
11786a15188a42
122ba5408a9324
13131593758bcb
14796d5b852a0
153cb8eeeaa6a
hex2051df9c88c

2221001001100 has 72 divisors (see below), whose sum is σ = 5510070770400. Its totient is φ = 761211179520.

The previous prime is 2221001001077. The next prime is 2221001001157. The reversal of 2221001001100 is 11001001222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372626 + ... + 2515174.

It is an arithmetic number, because the mean of its divisors is an integer number (76528760700).

Almost surely, 22221001001100 is an apocalyptic number.

2221001001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221001001100 is an abundant number, since it is smaller than the sum of its proper divisors (3289069769300).

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

2221001001100 is a wasteful number, since it uses less digits than its factorization.

2221001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145347 (or 1145340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2221001001100 its reverse (11001001222), we get a palindrome (2232002002322).

The spelling of 2221001001100 in words is "two trillion, two hundred twenty-one billion, one million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2777 5554 11108 13885 19439 27770 38878 55540 69425 77756 97195 138850 194390 277700 388780 485975 971950 1142549 1943900 2285098 4570196 5712745 7997843 11425490 15995686 22850980 28563725 31991372 39989215 57127450 79978430 114254900 159956860 199946075 399892150 799784300 3172858573 6345717146 12691434292 15864292865 22210010011 31728585730 44420020022 63457171460 79321464325 88840040044 111050050055 158642928650 222100100110 317285857300 444200200220 555250250275 1110500500550 2221001001100