Search a number
-
+
1113312330 = 233513419757
BaseRepresentation
bin100001001011011…
…1100110001001010
32212120220010102000
41002112330301022
54240001443310
6302250051430
736405666354
oct10226746112
92776803360
101113312330
11521488039
12270a19b76
131498620c0
14a7c060d4
1567b154c0
hex425bcc4a

1113312330 has 128 divisors (see below), whose sum is σ = 3209068800. Its totient is φ = 273030912.

The previous prime is 1113312323. The next prime is 1113312373. The reversal of 1113312330 is 332133111.

It is a happy number.

1113312330 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 2 + 330 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1470312 + ... + 1471068.

It is an arithmetic number, because the mean of its divisors is an integer number (25070850).

Almost surely, 21113312330 is an apocalyptic number.

1113312330 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 1113312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604534400).

1113312330 is an abundant number, since it is smaller than the sum of its proper divisors (2095756470).

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

1113312330 is a wasteful number, since it uses less digits than its factorization.

1113312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1113312330 is about 33366.3352797397. The cubic root of 1113312330 is about 1036.4276873659.

Adding to 1113312330 its reverse (332133111), we get a palindrome (1445445441).

The spelling of 1113312330 in words is "one billion, one hundred thirteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 419 585 702 757 838 1170 1257 1514 1755 2095 2271 2514 3510 3771 3785 4190 4542 5447 6285 6813 7542 7570 9841 10894 11313 11355 12570 13626 16341 18855 19682 20439 22626 22710 27235 29523 32682 34065 37710 40878 49023 49205 54470 56565 59046 68130 81705 88569 98046 98410 102195 113130 147069 147615 163410 177138 204390 245115 265707 294138 295230 317183 442845 490230 531414 634366 735345 885690 951549 1328535 1470690 1585915 1903098 2657070 2854647 3171830 4123379 4757745 5709294 8246758 8563941 9515490 12370137 14273235 17127882 20616895 24740274 28546470 37110411 41233790 42819705 61850685 74220822 85639410 111331233 123701370 185552055 222662466 371104110 556656165 1113312330