Search a number
-
+
1111301220 = 2235174672333
BaseRepresentation
bin100001000111101…
…0001110001100100
32212110002221200110
41002033101301210
54233443114340
6302135013020
736352622151
oct10217216144
92773087613
101111301220
11520334067
1227020a170
131493098b3
14a7841228
1567869680
hex423d1c64

1111301220 has 96 divisors (see below), whose sum is σ = 3303151488. Its totient is φ = 278198272.

The previous prime is 1111301201. The next prime is 1111301267. The reversal of 1111301220 is 221031111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1111301196 and 1111301205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475174 + ... + 477506.

It is an arithmetic number, because the mean of its divisors is an integer number (34407828).

Almost surely, 21111301220 is an apocalyptic number.

1111301220 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 1111301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651575744).

1111301220 is an abundant number, since it is smaller than the sum of its proper divisors (2191850268).

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

1111301220 is a wasteful number, since it uses less digits than its factorization.

1111301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1111301220 is about 33336.1848446999. The cubic root of 1111301220 is about 1035.8032365345.

Adding to 1111301220 its reverse (221031111), we get a palindrome (1332332331).

The spelling of 1111301220 in words is "one billion, one hundred eleven million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 467 510 934 1020 1401 1868 2333 2335 2802 4666 4670 5604 6999 7005 7939 9332 9340 11665 13998 14010 15878 23330 23817 27996 28020 31756 34995 39661 39695 46660 47634 69990 79322 79390 95268 118983 119085 139980 158644 158780 198305 237966 238170 396610 475932 476340 594915 793220 1089511 1189830 2179022 2379660 3268533 4358044 5447555 6537066 10895110 13074132 16342665 18521687 21790220 32685330 37043374 55565061 65370660 74086748 92608435 111130122 185216870 222260244 277825305 370433740 555650610 1111301220