Search a number
-
+
1131330330 = 2325137113619
BaseRepresentation
bin100001101101110…
…1011101100011010
32220211210112110100
41003123223230122
54304110032310
6304132200230
740015102104
oct10333535432
92824715410
101131330330
11530674249
12276a69076
13150500340
14aa376574
15694c3ec0
hex436ebb1a

1131330330 has 96 divisors (see below), whose sum is σ = 3212576640. Its totient is φ = 274538880.

The previous prime is 1131330289. The next prime is 1131330413. The reversal of 1131330330 is 330331311.

1131330330 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 330 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76261 + ... + 89879.

It is an arithmetic number, because the mean of its divisors is an integer number (33464340).

Almost surely, 21131330330 is an apocalyptic number.

1131330330 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 1131330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606288320).

1131330330 is an abundant number, since it is smaller than the sum of its proper divisors (2081246310).

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

1131330330 is a wasteful number, since it uses less digits than its factorization.

1131330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1131330330 is about 33635.2542728608. The cubic root of 1131330330 is about 1041.9890220537.

Adding to 1131330330 its reverse (330331311), we get a palindrome (1461661641).

The spelling of 1131330330 in words is "one billion, one hundred thirty-one million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 355 390 426 585 639 710 923 1065 1170 1278 1846 2130 2769 3195 4615 5538 6390 8307 9230 13619 13845 16614 27238 27690 40857 41535 68095 81714 83070 122571 136190 177047 204285 245142 354094 408570 531141 612855 885235 966949 1062282 1225710 1593423 1770470 1933898 2655705 2900847 3186846 4834745 5311410 5801694 7967115 8702541 9669490 12570337 14504235 15934230 17405082 25140674 29008470 37711011 43512705 62851685 75422022 87025410 113133033 125703370 188555055 226266066 377110110 565665165 1131330330