Search a number
-
+
1312201404 = 223389211647
BaseRepresentation
bin100111000110110…
…1001101010111100
310101110010201221000
41032031221222330
510141410421104
6334113010300
744342346033
oct11615515274
93343121830
101312201404
11613781378
12307553990
1317bb1a847
14c63b971a
157a300639
hex4e369abc

1312201404 has 96 divisors (see below), whose sum is σ = 3461875200. Its totient is φ = 429770880.

The previous prime is 1312201361. The next prime is 1312201441. The reversal of 1312201404 is 4041022131.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2027809 + ... + 2028455.

It is an arithmetic number, because the mean of its divisors is an integer number (36061200).

Almost surely, 21312201404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312201404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730937600).

1312201404 is an abundant number, since it is smaller than the sum of its proper divisors (2149673796).

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

1312201404 is a wasteful number, since it uses less digits than its factorization.

1312201404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1312201404 is about 36224.3206147472. The cubic root of 1312201404 is about 1094.7967496654.

Adding to 1312201404 its reverse (4041022131), we get a palindrome (5353223535).

The spelling of 1312201404 in words is "one billion, three hundred twelve million, two hundred one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 211 267 356 422 534 633 647 801 844 1068 1266 1294 1602 1899 1941 2403 2532 2588 3204 3798 3882 4806 5697 5823 7596 7764 9612 11394 11646 17469 18779 22788 23292 34938 37558 56337 57583 69876 75116 112674 115166 136517 169011 172749 225348 230332 273034 338022 345498 409551 507033 518247 546068 676044 690996 819102 1014066 1036494 1228653 1554741 1638204 2028132 2072988 2457306 3109482 3685959 4914612 6218964 7371918 12150013 14743836 24300026 36450039 48600052 72900078 109350117 145800156 218700234 328050351 437400468 656100702 1312201404