Search a number
-
+
1120022100 = 2233521133671
BaseRepresentation
bin100001011000010…
…0010111001010100
32220001112000111000
41002300202321110
54243211201400
6303045543300
736520013361
oct10260427124
92801460430
101120022100
115252501aa
12273114b30
1314b071192
14a8a71468
15684dd600
hex42c22e54

1120022100 has 144 divisors (see below), whose sum is σ = 3633517440. Its totient is φ = 295948800.

The previous prime is 1120022083. The next prime is 1120022131. The reversal of 1120022100 is 12200211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303265 + ... + 306935.

It is an arithmetic number, because the mean of its divisors is an integer number (25232760).

Almost surely, 21120022100 is an apocalyptic number.

1120022100 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 1120022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816758720).

1120022100 is an abundant number, since it is smaller than the sum of its proper divisors (2513495340).

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

1120022100 is a wasteful number, since it uses less digits than its factorization.

1120022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120022100 is about 33466.7312416376. The cubic root of 1120022100 is about 1038.5056509277.

Adding to 1120022100 its reverse (12200211), we get a palindrome (1132222311).

The spelling of 1120022100 in words is "one billion, one hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 113 135 150 180 225 226 270 300 339 450 452 540 565 675 678 900 1017 1130 1350 1356 1695 2034 2260 2700 2825 3051 3390 3671 4068 5085 5650 6102 6780 7342 8475 10170 11013 11300 12204 14684 15255 16950 18355 20340 22026 25425 30510 33039 33900 36710 44052 50850 55065 61020 66078 73420 76275 91775 99117 101700 110130 132156 152550 165195 183550 198234 220260 275325 305100 330390 367100 396468 414823 495585 550650 660780 825975 829646 991170 1101300 1244469 1651950 1659292 1982340 2074115 2477925 2488938 3303900 3733407 4148230 4955850 4977876 6222345 7466814 8296460 9911700 10370575 11200221 12444690 14933628 18667035 20741150 22400442 24889380 31111725 37334070 41482300 44800884 56001105 62223450 74668140 93335175 112002210 124446900 186670350 224004420 280005525 373340700 560011050 1120022100