Search a number
-
+
1120220001100 = 2252291367282577
BaseRepresentation
bin10000010011010010010…
…100001011001101001100
310222002111001120020202101
4100103102110023031030
5121323202310013400
62214342202204444
7143635044621034
oct20232224131514
93862431506671
101120220001100
113a209aa94102
121611334b3724
1381836c20c75
143c30ca9a8c4
151e215bc756a
hex104d250b34c

1120220001100 has 72 divisors (see below), whose sum is σ = 2516549243040. Its totient is φ = 432318673920.

The previous prime is 1120220001083. The next prime is 1120220001133. The reversal of 1120220001100 is 11000220211.

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

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, 3823012 + ... + 4105588.

It is an arithmetic number, because the mean of its divisors is an integer number (34952072820).

Almost surely, 21120220001100 is an apocalyptic number.

1120220001100 is a gapful number since it is divisible by the number (10) 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 1120220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258274621520).

1120220001100 is an abundant number, since it is smaller than the sum of its proper divisors (1396329241940).

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

1120220001100 is a wasteful number, since it uses less digits than its factorization.

1120220001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283987 (or 283980 counting only the distinct ones).

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

Adding to 1120220001100 its reverse (11000220211), we get a palindrome (1131220221311).

The spelling of 1120220001100 in words is "one trillion, one hundred twenty billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1367 1450 2734 2900 5468 6835 13670 27340 34175 39643 68350 79286 136700 158572 198215 282577 396430 565154 792860 991075 1130308 1412885 1982150 2825770 3964300 5651540 7064425 8194733 14128850 16389466 28257700 32778932 40973665 81947330 163894660 204868325 386282759 409736650 772565518 819473300 1545131036 1931413795 3862827590 7725655180 9657068975 11202200011 19314137950 22404400022 38628275900 44808800044 56011000055 112022000110 224044000220 280055000275 560110000550 1120220001100