Search a number
-
+
1201341330 = 232572331823
BaseRepresentation
bin100011110011011…
…0000001110010010
310002201112110111100
41013212300032102
54430020410310
6315112525230
741525142600
oct10746601622
93081473440
101201341330
11567142582
122963b0816
13161b73b77
14b579c870
1570702ec0
hex479b0392

1201341330 has 144 divisors (see below), whose sum is σ = 3648849984. Its totient is φ = 273430080.

The previous prime is 1201341311. The next prime is 1201341331. The reversal of 1201341330 is 331431021.

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

It is not an unprimeable number, because it can be changed into a prime (1201341331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1459299 + ... + 1460121.

It is an arithmetic number, because the mean of its divisors is an integer number (25339236).

Almost surely, 21201341330 is an apocalyptic number.

1201341330 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 1201341330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824424992).

1201341330 is an abundant number, since it is smaller than the sum of its proper divisors (2447508654).

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

1201341330 is a wasteful number, since it uses less digits than its factorization.

1201341330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

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

The square root of 1201341330 is about 34660.3711751620. The cubic root of 1201341330 is about 1063.0543594784.

Adding to 1201341330 its reverse (331431021), we get a palindrome (1532772351).

The spelling of 1201341330 in words is "one billion, two hundred one million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 331 441 490 630 662 735 823 882 993 1470 1646 1655 1986 2205 2317 2469 2979 3310 4115 4410 4634 4938 4965 5761 5958 6951 7407 8230 9930 11522 11585 12345 13902 14814 14895 16219 17283 20853 23170 24690 28805 29790 32438 34566 34755 37035 40327 41706 48657 51849 57610 69510 74070 80654 81095 86415 97314 103698 104265 120981 145971 162190 172830 201635 208530 241962 243285 259245 272413 291942 362943 403270 486570 518490 544826 604905 725886 729855 817239 1209810 1362065 1459710 1634478 1814715 1906891 2451717 2724130 3629430 3813782 4086195 4903434 5720673 8172390 9534455 11441346 12258585 13348237 17162019 19068910 24517170 26696474 28603365 34324038 40044711 57206730 66741185 80089422 85810095 120134133 133482370 171620190 200223555 240268266 400447110 600670665 1201341330