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1311204312 = 2332115331237
BaseRepresentation
bin100111000100111…
…0110001111011000
310101101021002011200
41032021312033120
510141132014222
6334035354200
744331024045
oct11611661730
93341232150
101311204312
11613160230
12307152960
1317b85ba52
14c61da1cc
157a1a4eac
hex4e2763d8

1311204312 has 96 divisors (see below), whose sum is σ = 3947233680. Its totient is φ = 389825280.

The previous prime is 1311204299. The next prime is 1311204329. The reversal of 1311204312 is 2134021131.

1311204312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 26358 + ... + 57594.

Almost surely, 21311204312 is an apocalyptic number.

1311204312 is a gapful number since it is divisible by the number (12) 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 1311204312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973616840).

1311204312 is an abundant number, since it is smaller than the sum of its proper divisors (2636029368).

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

1311204312 is a wasteful number, since it uses less digits than its factorization.

1311204312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31313 (or 31306 counting only the distinct ones).

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

The square root of 1311204312 is about 36210.5552567204. Note that the first 3 decimals coincide. The cubic root of 1311204312 is about 1094.5193812457.

Adding to 1311204312 its reverse (2134021131), we get a palindrome (3445225443).

The spelling of 1311204312 in words is "one billion, three hundred eleven million, two hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5247 6996 10494 13992 20988 31237 41976 62474 93711 124948 187422 249896 281133 343607 374844 562266 687214 749688 1030821 1124532 1374428 1655561 2061642 2249064 2748856 3092463 3311122 4123284 4966683 6184926 6622244 8246568 9933366 12369852 13244488 14900049 18211171 19866732 24739704 29800098 36422342 39733464 54633513 59600196 72844684 109267026 119200392 145689368 163900539 218534052 327801078 437068104 655602156 1311204312