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102341434301312 = 2710761912071663
BaseRepresentation
bin10111010001010000111000…
…110101100101101110000000
3111102100202010112001000000012
4113101100320311211232000
5101403230224140120222
61001355001133444052
730361632101261153
oct2721207065455600
9442322115030005
10102341434301312
112a67783869a088
12b58a557340628
1345149a978996b
141b3b4cd691c9a
15bc72078111e2
hex5d1438d65b80

102341434301312 has 64 divisors (see below), whose sum is σ = 206121248467200. Its totient is φ = 50610587794944.

The previous prime is 102341434301297. The next prime is 102341434301347. The reversal of 102341434301312 is 213103434143201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2441993 + ... + 14513655.

It is an arithmetic number, because the mean of its divisors is an integer number (3220644507300).

Almost surely, 2102341434301312 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 102341434301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103060624233600).

102341434301312 is an abundant number, since it is smaller than the sum of its proper divisors (103779814165888).

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

102341434301312 is a wasteful number, since it uses less digits than its factorization.

102341434301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12072403 (or 12072391 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 102341434301312 its reverse (213103434143201), we get a palindrome (315444868444513).

The spelling of 102341434301312 in words is "one hundred two trillion, three hundred forty-one billion, four hundred thirty-four million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 619 856 1238 1712 2476 3424 4952 6848 9904 13696 19808 39616 66233 79232 132466 264932 529864 1059728 2119456 4238912 8477824 12071663 24143326 48286652 96573304 193146608 386293216 772586432 1291667941 1545172864 2583335882 5166671764 7472359397 10333343528 14944718794 20666687056 29889437588 41333374112 59778875176 82666748224 119557750352 165333496448 239115500704 478231001408 799542455479 956462002816 1599084910958 3198169821916 6396339643832 12792679287664 25585358575328 51170717150656 102341434301312