Search a number
-
+
1242221130 = 233515130469
BaseRepresentation
bin100101000001010…
…1100101001001010
310012120110101001000
41022002230221022
510021002034010
6323133035430
742532463643
oct11202545112
93176411030
101242221130
11588224137
122a8025b76
1316a487cb7
14bada06ca
15740ca7c0
hex4a0aca4a

1242221130 has 64 divisors (see below), whose sum is σ = 3334636800. Its totient is φ = 329054400.

The previous prime is 1242221111. The next prime is 1242221153. The reversal of 1242221130 is 311222421.

It is a happy number.

1242221130 is a `hidden beast` number, since 1 + 2 + 422 + 211 + 30 = 666.

It is a super-2 number, since 2×12422211302 = 3086226671636953800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 25536 + ... + 56004.

It is an arithmetic number, because the mean of its divisors is an integer number (52103700).

Almost surely, 21242221130 is an apocalyptic number.

1242221130 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 1242221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667318400).

1242221130 is an abundant number, since it is smaller than the sum of its proper divisors (2092415670).

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

1242221130 is a wasteful number, since it uses less digits than its factorization.

1242221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30636 (or 30630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1242221130 is about 35245.1575397245. The cubic root of 1242221130 is about 1074.9781513497.

Adding to 1242221130 its reverse (311222421), we get a palindrome (1553443551).

The spelling of 1242221130 in words is "one billion, two hundred forty-two million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 906 1359 1510 2265 2718 4077 4530 6795 8154 13590 20385 30469 40770 60938 91407 152345 182814 274221 304690 457035 548442 822663 914070 1371105 1645326 2742210 4113315 4600819 8226630 9201638 13802457 23004095 27604914 41407371 46008190 69012285 82814742 124222113 138024570 207036855 248444226 414073710 621110565 1242221130