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1241321312 = 25721179911
BaseRepresentation
bin100100111111101…
…0000111101100000
310012111202122201102
41021333100331200
510020234240222
6323101453532
742522025400
oct11177207540
93174678642
101241321312
1158776a090
122a78712a8
1316a23156a
14bac08800
1573e9dd92
hex49fd0f60

1241321312 has 144 divisors (see below), whose sum is σ = 3143992320. Its totient is φ = 476985600.

The previous prime is 1241321311. The next prime is 1241321363. The reversal of 1241321312 is 2131231421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241321311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362137 + ... + 1363047.

It is an arithmetic number, because the mean of its divisors is an integer number (21833280).

Almost surely, 21241321312 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 1241321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571996160).

1241321312 is an abundant number, since it is smaller than the sum of its proper divisors (1902671008).

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

1241321312 is a wasteful number, since it uses less digits than its factorization.

1241321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1010 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 1241321312 is about 35232.3900977495. The cubic root of 1241321312 is about 1074.7185308158.

Adding to 1241321312 its reverse (2131231421), we get a palindrome (3372552733).

The spelling of 1241321312 in words is "one billion, two hundred forty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 79 88 98 112 154 158 176 196 224 308 316 352 392 539 553 616 632 784 869 911 1078 1106 1232 1264 1568 1738 1822 2156 2212 2464 2528 3476 3644 3871 4312 4424 6083 6377 6952 7288 7742 8624 8848 10021 12166 12754 13904 14576 15484 17248 17696 20042 24332 25508 27808 29152 30968 40084 42581 44639 48664 51016 61936 70147 71969 80168 85162 89278 97328 102032 123872 140294 143938 160336 170324 178556 194656 204064 280588 287876 320672 340648 357112 491029 503783 561176 575752 681296 714224 791659 982058 1007566 1122352 1151504 1362592 1428448 1583318 1964116 2015132 2244704 2303008 3166636 3526481 3928232 4030264 5541613 6333272 7052962 7856464 8060528 11083226 12666544 14105924 15712928 16121056 22166452 25333088 28211848 38791291 44332904 56423696 77582582 88665808 112847392 155165164 177331616 310330328 620660656 1241321312