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1312332041104 = 24773719223241
BaseRepresentation
bin10011000110001101000…
…101011100101110010000
311122110100200021001100021
4103012031011130232100
5133000124000303404
62442513234033224
7163545545204110
oct23061505345620
94573320231307
101312332041104
114666142521a7
12192409418814
13969a1c97a96
144773531b040
152420b8d3454
hex1318d15cb90

1312332041104 has 80 divisors (see below), whose sum is σ = 2949794772480. Its totient is φ = 553949521920.

The previous prime is 1312332041093. The next prime is 1312332041107. The reversal of 1312332041104 is 4011402332131.

It is a super-2 number, since 2×13123320411042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312332041107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5766924 + ... + 5990164.

It is an arithmetic number, because the mean of its divisors is an integer number (36872434656).

Almost surely, 21312332041104 is an apocalyptic number.

1312332041104 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 1312332041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474897386240).

1312332041104 is an abundant number, since it is smaller than the sum of its proper divisors (1637462731376).

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

1312332041104 is a wasteful number, since it uses less digits than its factorization.

1312332041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224048 (or 224042 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1312332041104 its reverse (4011402332131), we get a palindrome (5323734373235).

The spelling of 1312332041104 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 719 1022 1168 1438 2044 2876 4088 5033 5752 8176 10066 11504 20132 40264 52487 80528 104974 209948 223241 367409 419896 446482 734818 839792 892964 1469636 1562687 1785928 2939272 3125374 3571856 5878544 6250748 12501496 16296593 25002992 32593186 65186372 114076151 130372744 160510279 228152302 260745488 321020558 456304604 642041116 912609208 1123571953 1284082232 1825218416 2247143906 2568164464 4494287812 8988575624 11717250367 17977151248 23434500734 46869001468 82020752569 93738002936 164041505138 187476005872 328083010276 656166020552 1312332041104