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1310103211232 = 252313154724841
BaseRepresentation
bin10011000100001000001…
…111001000110011100000
311122020121100022202112202
4103010020033020303200
5132431042410224412
62441504134312332
7163436402361614
oct23041017106340
94566540282482
101310103211232
11465680121342
12191aa6ab86a8
13967082b0c3a
14475a32d7344
152412adbe3c2
hex131083c8ce0

1310103211232 has 96 divisors (see below), whose sum is σ = 2717020018944. Its totient is φ = 620626406400.

The previous prime is 1310103211211. The next prime is 1310103211247. The reversal of 1310103211232 is 2321123010131.

It is a happy number.

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, 52727132 + ... + 52751972.

It is an arithmetic number, because the mean of its divisors is an integer number (28302291864).

Almost surely, 21310103211232 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 1310103211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358510009472).

1310103211232 is an abundant number, since it is smaller than the sum of its proper divisors (1406916807712).

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

1310103211232 is a wasteful number, since it uses less digits than its factorization.

1310103211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25552 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1310103211232 its reverse (2321123010131), we get a palindrome (3631226221363).

The spelling of 1310103211232 in words is "one trillion, three hundred ten billion, one hundred three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 131 184 262 368 524 547 736 1048 1094 2096 2188 3013 4192 4376 6026 8752 12052 12581 17504 24104 24841 25162 48208 49682 50324 71657 96416 99364 100648 143314 198728 201296 286628 397456 402592 571343 573256 794912 1142686 1146512 1648111 2285372 2293024 3254171 3296222 4570744 6508342 6592444 9141488 13016684 13184888 13588027 18282976 26033368 26369776 27176054 52066736 52739552 54352108 74845933 104133472 108704216 149691866 217408432 299383732 312524621 434816864 598767464 625049242 1197534928 1250098484 1780031537 2395069856 2500196968 3560063074 5000393936 7120126148 10000787872 14240252296 28480504592 40940725351 56961009184 81881450702 163762901404 327525802808 655051605616 1310103211232