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1165112130 = 235713716011
BaseRepresentation
bin100010101110010…
…0011001101000010
310000012100211101010
41011130203031002
54341232042010
6311340221350
740605201240
oct10534431502
93005324333
101165112130
11548747a96
1228623a856
131574ca780
14b0a4b790
156c448620
hex45723342

1165112130 has 128 divisors (see below), whose sum is σ = 3490615296. Its totient is φ = 242323200.

The previous prime is 1165112107. The next prime is 1165112141. The reversal of 1165112130 is 312115611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1165112097 and 1165112106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190825 + ... + 196835.

It is an arithmetic number, because the mean of its divisors is an integer number (27270432).

Almost surely, 21165112130 is an apocalyptic number.

1165112130 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 1165112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745307648).

1165112130 is an abundant number, since it is smaller than the sum of its proper divisors (2325503166).

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

1165112130 is a wasteful number, since it uses less digits than its factorization.

1165112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112.

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1165112130 is about 34133.7388810543. The cubic root of 1165112130 is about 1052.2588197535.

Adding to 1165112130 its reverse (312115611), we get a palindrome (1477227741).

The spelling of 1165112130 in words is "one billion, one hundred sixty-five million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 71 78 91 105 130 142 182 195 210 213 273 355 390 426 455 497 546 710 910 923 994 1065 1365 1491 1846 2130 2485 2730 2769 2982 4615 4970 5538 6011 6461 7455 9230 12022 12922 13845 14910 18033 19383 27690 30055 32305 36066 38766 42077 60110 64610 78143 84154 90165 96915 126231 156286 180330 193830 210385 234429 252462 390715 420770 426781 468858 547001 631155 781430 853562 1094002 1172145 1262310 1280343 1641003 2133905 2344290 2560686 2735005 2987467 3282006 4267810 5470010 5548153 5974934 6401715 8205015 8962401 11096306 12803430 14937335 16410030 16644459 17924802 27740765 29874670 33288918 38837071 44812005 55481530 77674142 83222295 89624010 116511213 166444590 194185355 233022426 388370710 582556065 1165112130