Search a number
-
+
1301213214 = 2337191031759
BaseRepresentation
bin100110110001110…
…1111000000011110
310100200110110222000
41031203233000132
510131102310324
6333041303130
744150062350
oct11543570036
93320413860
101301213214
11608556824
12303934aa6
13179771262
14c4b590d0
157937e9c9
hex4d8ef01e

1301213214 has 128 divisors (see below), whose sum is σ = 3514368000. Its totient is φ = 348590304.

The previous prime is 1301213191. The next prime is 1301213227. The reversal of 1301213214 is 4123121031.

It is a super-3 number, since 3×13012132143 (a number of 28 digits) contains 333 as substring.

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

It is a congruent 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, 738867 + ... + 740625.

It is an arithmetic number, because the mean of its divisors is an integer number (27456000).

Almost surely, 21301213214 is an apocalyptic number.

1301213214 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 1301213214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757184000).

1301213214 is an abundant number, since it is smaller than the sum of its proper divisors (2213154786).

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

1301213214 is a wasteful number, since it uses less digits than its factorization.

1301213214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1301213214 is about 36072.3330822945. Note that the first 3 decimals coincide. The cubic root of 1301213214 is about 1091.7322885583.

Adding to 1301213214 its reverse (4123121031), we get a palindrome (5424334245).

The spelling of 1301213214 in words is "one billion, three hundred one million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 103 114 126 133 171 189 206 266 309 342 378 399 513 618 721 798 927 1026 1197 1442 1759 1854 1957 2163 2394 2781 3518 3591 3914 4326 5277 5562 5871 6489 7182 10554 11742 12313 12978 13699 15831 17613 19467 24626 27398 31662 33421 35226 36939 38934 41097 47493 52839 66842 73878 82194 94986 100263 105678 110817 123291 181177 200526 221634 233947 246582 300789 332451 362354 369873 467894 543531 601578 664902 701841 739746 902367 1087062 1268239 1403682 1630593 1804734 2105523 2536478 3261186 3442363 3804717 4211046 4891779 6316569 6884726 7609434 9783558 10327089 11414151 12633138 20654178 22828302 24096541 30981267 34242453 48193082 61962534 68484906 72289623 92943801 144579246 185887602 216868869 433737738 650606607 1301213214