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1130221000 = 235310910369
BaseRepresentation
bin100001101011101…
…1100110111001000
32220202201011202001
41003113130313020
54303314033000
6304052320344
740002501646
oct10327346710
92822634661
101130221000
1152aa86847
122766130b4
1315020242c
14aa168196
156935546a
hex435dcdc8

1130221000 has 64 divisors (see below), whose sum is σ = 2669238000. Its totient is φ = 447897600.

The previous prime is 1130220977. The next prime is 1130221003. The reversal of 1130221000 is 1220311.

It can be written as a sum of positive squares in 8 ways, for example, as 51076 + 1130169924 = 226^2 + 33618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1130221003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103816 + ... + 114184.

Almost surely, 21130221000 is an apocalyptic number.

1130221000 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 1130221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334619000).

1130221000 is an abundant number, since it is smaller than the sum of its proper divisors (1539017000).

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

1130221000 is a wasteful number, since it uses less digits than its factorization.

1130221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10499 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1130221000 is about 33618.7596439845. The cubic root of 1130221000 is about 1041.6483353218.

Adding to 1130221000 its reverse (1220311), we get a palindrome (1131441311).

The spelling of 1130221000 in words is "one billion, one hundred thirty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10369 10900 13625 20738 21800 27250 41476 51845 54500 82952 103690 109000 207380 259225 414760 518450 1036900 1130221 1296125 2073800 2260442 2592250 4520884 5184500 5651105 9041768 10369000 11302210 22604420 28255525 45208840 56511050 113022100 141277625 226044200 282555250 565110500 1130221000