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1132220130 = 235314725903
BaseRepresentation
bin100001101111100…
…0100111011100010
32220220110202000220
41003133010323202
54304322021010
6304203223510
740025466216
oct10337047342
92826422026
101132220130
11531121818
12277217b96
13150752352
14aa528946
15695ec970
hex437c4ee2

1132220130 has 64 divisors (see below), whose sum is σ = 2864775168. Its totient is φ = 285958080.

The previous prime is 1132220123. The next prime is 1132220147. The reversal of 1132220130 is 310222311.

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

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, 30759 + ... + 56661.

It is an arithmetic number, because the mean of its divisors is an integer number (44762112).

Almost surely, 21132220130 is an apocalyptic number.

1132220130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432387584).

1132220130 is an abundant number, since it is smaller than the sum of its proper divisors (1732555038).

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

1132220130 is a wasteful number, since it uses less digits than its factorization.

1132220130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25991.

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

The square root of 1132220130 is about 33648.4788660647. The cubic root of 1132220130 is about 1042.2621279244.

Adding to 1132220130 its reverse (310222311), we get a palindrome (1442442441).

The spelling of 1132220130 in words is "one billion, one hundred thirty-two million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 465 470 705 930 1410 1457 2914 4371 7285 8742 14570 21855 25903 43710 51806 77709 129515 155418 259030 388545 777090 802993 1217441 1605986 2408979 2434882 3652323 4014965 4817958 6087205 7304646 8029930 12044895 12174410 18261615 24089790 36523230 37740671 75481342 113222013 188703355 226444026 377406710 566110065 1132220130