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1312052214 = 2311177383193
BaseRepresentation
bin100111000110100…
…0101001111110110
310101102212011021110
41032031011033312
510141341132324
6334105455450
744341155054
oct11615051766
93342764243
101312052214
1161368a280
123074a1586
1317ba97975
14c637b1d4
157a2c1329
hex4e3453f6

1312052214 has 128 divisors (see below), whose sum is σ = 3125703168. Its totient is φ = 362741760.

The previous prime is 1312052179. The next prime is 1312052219. The reversal of 1312052214 is 4122502131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312052219) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6798102 + ... + 6798294.

It is an arithmetic number, because the mean of its divisors is an integer number (24419556).

Almost surely, 21312052214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312052214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562851584).

1312052214 is an abundant number, since it is smaller than the sum of its proper divisors (1813650954).

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

1312052214 is a wasteful number, since it uses less digits than its factorization.

1312052214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1312052214 is about 36222.2613043416. The cubic root of 1312052214 is about 1094.7552573262.

Adding to 1312052214 its reverse (4122502131), we get a palindrome (5434554345).

The spelling of 1312052214 in words is "one billion, three hundred twelve million, fifty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 83 102 146 166 187 193 219 249 374 386 438 498 561 579 803 913 1122 1158 1241 1411 1606 1826 2123 2409 2482 2739 2822 3281 3723 4233 4246 4818 5478 6059 6369 6562 7446 8466 9843 12118 12738 13651 14089 15521 16019 18177 19686 27302 28178 31042 32038 36091 36354 40953 42267 46563 48057 66649 72182 81906 84534 93126 96114 103003 108273 133298 154979 176209 199947 206006 216546 239513 272323 309009 309958 352418 399894 464937 479026 528627 544646 618018 718539 816969 929874 1057254 1133033 1169387 1437078 1633938 2266066 2338774 2634643 2995553 3399099 3508161 5269286 5991106 6798198 7016322 7903929 8986659 12863257 15807858 17973318 19879579 25726514 38589771 39759158 59638737 77179542 119277474 218675369 437350738 656026107 1312052214