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1101323220 = 2235196714419
BaseRepresentation
bin100000110100100…
…1101101111010100
32211202100000102220
41001221031233110
54223414320340
6301141102340
736202043604
oct10151155724
92752300386
101101323220
11515739488
122689b79b0
1314722505a
14a63a4c04
1566a47ed0
hex41a4dbd4

1101323220 has 96 divisors (see below), whose sum is σ = 3294681600. Its totient is φ = 274057344.

The previous prime is 1101323213. The next prime is 1101323231. The reversal of 1101323220 is 223231011.

It is a super-2 number, since 2×11013232202 = 2425825669822336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101323220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69171 + ... + 83589.

It is an arithmetic number, because the mean of its divisors is an integer number (34319600).

Almost surely, 21101323220 is an apocalyptic number.

1101323220 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 1101323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647340800).

1101323220 is an abundant number, since it is smaller than the sum of its proper divisors (2193358380).

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

1101323220 is a wasteful number, since it uses less digits than its factorization.

1101323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1101323220 is about 33186.1902001420. The cubic root of 1101323220 is about 1032.6938688969.

Adding to 1101323220 its reverse (223231011), we get a palindrome (1324554231).

The spelling of 1101323220 in words is "one billion, one hundred one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6365 7638 12730 14419 15276 19095 25460 28838 38190 43257 57676 72095 76380 86514 144190 173028 216285 273961 288380 432570 547922 821883 865140 966073 1095844 1369805 1643766 1932146 2739610 2898219 3287532 3864292 4109415 4830365 5479220 5796438 8218830 9660730 11592876 14491095 16437660 18355387 19321460 28982190 36710774 55066161 57964380 73421548 91776935 110132322 183553870 220264644 275330805 367107740 550661610 1101323220