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13330200100 = 2252723837103
BaseRepresentation
bin11000110101000101…
…01011011000100100
31021102000010022211211
430122202223120210
5204300012400400
610042424241204
7651222555100
oct143242533044
937360108754
1013330200100
1157206066a8
122700310204
131345914889
14906560900
15530428dba
hex31a8ab624

13330200100 has 108 divisors (see below), whose sum is σ = 33741840384. Its totient is φ = 4557779520.

The previous prime is 13330200083. The next prime is 13330200109. The reversal of 13330200100 is 100203331.

It is not an unprimeable number, because it can be changed into a prime (13330200109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1873149 + ... + 1880251.

It is an arithmetic number, because the mean of its divisors is an integer number (312424448).

Almost surely, 213330200100 is an apocalyptic number.

13330200100 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 13330200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870920192).

13330200100 is an abundant number, since it is smaller than the sum of its proper divisors (20411640284).

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

13330200100 is a wasteful number, since it uses less digits than its factorization.

13330200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13330200100 its reverse (100203331), we get a palindrome (13430403431).

The spelling of 13330200100 in words is "thirteen billion, three hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 383 490 700 766 980 1225 1532 1915 2450 2681 3830 4900 5362 7103 7660 9575 10724 13405 14206 18767 19150 26810 28412 35515 37534 38300 49721 53620 67025 71030 75068 93835 99442 134050 142060 177575 187670 198884 248605 268100 348047 355150 375340 469175 497210 696094 710300 938350 994420 1243025 1392188 1740235 1876700 2486050 2720449 3480470 4972100 5440898 6960940 8701175 10881796 13602245 17402350 19043143 27204490 34804700 38086286 54408980 68011225 76172572 95215715 133302001 136022450 190431430 266604002 272044900 380862860 476078575 533208004 666510005 952157150 1333020010 1904314300 2666040020 3332550025 6665100050 13330200100