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13201012120300 = 225210111443114221
BaseRepresentation
bin1100000000011001100110…
…1000110101101011101100
31201202000010020021020210221
43000012121220311223230
53212241133100322200
644024243343541124
72531512246416424
oct300063150655354
951660106236727
1013201012120300
11422a577212954
1215925402ba7a4
13749b08899434
14338d0a6cb484
1517d5c68d391a
hexc0199a35aec

13201012120300 has 72 divisors (see below), whose sum is σ = 28932603476112. Its totient is φ = 5227620960000.

The previous prime is 13201012120207. The next prime is 13201012120327. The reversal of 13201012120300 is 302121010231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115517190 + ... + 115631410.

It is an arithmetic number, because the mean of its divisors is an integer number (401841714946).

Almost surely, 213201012120300 is an apocalyptic number.

13201012120300 is a gapful number since it is divisible by the number (10) 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 13201012120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466301738056).

13201012120300 is an abundant number, since it is smaller than the sum of its proper divisors (15731591355812).

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

13201012120300 is a wasteful number, since it uses less digits than its factorization.

13201012120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125779 (or 125772 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13201012120300 its reverse (302121010231), we get a palindrome (13503133130531).

The spelling of 13201012120300 in words is "thirteen trillion, two hundred one billion, twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 11443 22886 45772 57215 114221 114430 228442 228860 286075 456884 571105 572150 1142210 1144300 1155743 2284420 2311486 2855525 4622972 5711050 5778715 11422100 11536321 11557430 23072642 23114860 28893575 46145284 57681605 57787150 115363210 115574300 230726420 288408025 576816050 1153632100 1307030903 2614061806 5228123612 6535154515 13070309030 26140618060 32675772575 65351545150 130703090300 132010121203 264020242406 528040484812 660050606015 1320101212030 2640202424060 3300253030075 6600506060150 13201012120300