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1310240125312 = 27711071499043
BaseRepresentation
bin10011000100010000011…
…001011011000110000000
311122020221212221201100121
4103010100121123012000
5132431332433002222
62441525505030024
7163442654210206
oct23042031330600
94566855851317
101310240125312
11465740435978
12191b24925314
139672a77a7a1
14475b7577076
1524137e165c7
hex1311065b180

1310240125312 has 128 divisors (see below), whose sum is σ = 2689975008000. Its totient is φ = 635492014080.

The previous prime is 1310240125297. The next prime is 1310240125351. The reversal of 1310240125312 is 2135210420131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144885463 + ... + 144894505.

It is an arithmetic number, because the mean of its divisors is an integer number (21015429750).

Almost surely, 21310240125312 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 1310240125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344987504000).

1310240125312 is an abundant number, since it is smaller than the sum of its proper divisors (1379734882688).

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

1310240125312 is a wasteful number, since it uses less digits than its factorization.

1310240125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1310240125312 its reverse (2135210420131), we get a palindrome (3445450545443).

The spelling of 1310240125312 in words is "one trillion, three hundred ten billion, two hundred forty million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 107 128 142 149 214 284 298 428 568 596 856 1136 1192 1712 2272 2384 3424 4544 4768 6848 7597 9043 9088 9536 10579 13696 15194 15943 18086 19072 21158 30388 31886 36172 42316 60776 63772 72344 84632 121552 127544 144688 169264 243104 255088 289376 338528 486208 510176 578752 642053 677056 967601 972416 1020352 1131953 1157504 1284106 1347407 1354112 1935202 2040704 2263906 2568212 2694814 3870404 4527812 5136424 5389628 7740808 9055624 10272848 10779256 15481616 18111248 20545696 21558512 30963232 36222496 41091392 43117024 61926464 68699671 72444992 82182784 86234048 95665897 123852928 137399342 144172549 144889984 172468096 191331794 274798684 288345098 382663588 549597368 576690196 765327176 1099194736 1153380392 1530654352 2198389472 2306760784 3061308704 4396778944 4613521568 6122617408 8793557888 9227043136 10236250979 12245234816 18454086272 20472501958 40945003916 81890007832 163780015664 327560031328 655120062656 1310240125312