Search a number
-
+
1312013304 = 233275349117
BaseRepresentation
bin100111000110011…
…1011101111111000
310101102210011220100
41032030323233320
510141333411204
6334104555400
744340633450
oct11614735770
93342704810
101312013304
11613663018
12307482b60
1317ba83044
14c636ad60
157a2b4a39
hex4e33bbf8

1312013304 has 96 divisors (see below), whose sum is σ = 4137700320. Its totient is φ = 367780608.

The previous prime is 1312013293. The next prime is 1312013321. The reversal of 1312013304 is 4033102131.

1312013304 is a `hidden beast` number, since 131 + 201 + 330 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154 + ... + 51270.

It is an arithmetic number, because the mean of its divisors is an integer number (43101045).

Almost surely, 21312013304 is an apocalyptic number.

1312013304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312013304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068850160).

1312013304 is an abundant number, since it is smaller than the sum of its proper divisors (2825687016).

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

1312013304 is a wasteful number, since it uses less digits than its factorization.

1312013304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49189 (or 49182 counting only the distinct ones).

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

The square root of 1312013304 is about 36221.7241997120. The cubic root of 1312013304 is about 1094.7444352599.

Adding to 1312013304 its reverse (4033102131), we get a palindrome (5345115435).

The spelling of 1312013304 in words is "one billion, three hundred twelve million, thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 13356 26712 49117 98234 147351 196468 294702 343819 392936 442053 589404 687638 884106 1031457 1178808 1375276 1768212 2062914 2603201 2750552 3094371 3536424 4125828 5206402 6188742 7809603 8251656 10412804 12377484 15619206 18222407 20825608 23428809 24754968 31238412 36444814 46857618 54667221 62476824 72889628 93715236 109334442 145779256 164001663 187430472 218668884 328003326 437337768 656006652 1312013304