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1120330134 = 232711859941
BaseRepresentation
bin100001011000110…
…1110000110010110
32220002002200000200
41002301232012112
54243301031014
6303100321330
736522435420
oct10261560626
92802080020
101120330134
11525440680
12273243246
1314b14b451
14a8b11810
156854ea09
hex42c6e196

1120330134 has 96 divisors (see below), whose sum is σ = 3033089280. Its totient is φ = 290347200.

The previous prime is 1120330129. The next prime is 1120330147. The reversal of 1120330134 is 4310330211.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190104 + ... + 1191044.

It is an arithmetic number, because the mean of its divisors is an integer number (31594680).

Almost surely, 21120330134 is an apocalyptic number.

1120330134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120330134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516544640).

1120330134 is an abundant number, since it is smaller than the sum of its proper divisors (1912759146).

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

1120330134 is a wasteful number, since it uses less digits than its factorization.

1120330134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1120330134 is about 33471.3330179723. Note that the first 3 decimals coincide. The cubic root of 1120330134 is about 1038.6008471825.

Adding to 1120330134 its reverse (4310330211), we get a palindrome (5430660345).

The spelling of 1120330134 in words is "one billion, one hundred twenty million, three hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 859 941 1386 1718 1882 2577 2823 5154 5646 6013 6587 7731 8469 9449 10351 12026 13174 15462 16938 18039 18898 19761 20702 28347 31053 36078 39522 54117 56694 59283 62106 66143 72457 85041 93159 108234 118566 132286 144914 170082 186318 198429 217371 396858 434742 595287 652113 808319 1190574 1304226 1616638 2424957 4849914 5658233 7274871 8891509 11316466 14549742 16974699 17783018 26674527 33949398 50924097 53349054 62240563 80023581 101848194 124481126 160047162 186721689 373443378 560165067 1120330134