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13330130230100 = 2252717347953693
BaseRepresentation
bin1100000111111010100110…
…1011010101101101010100
31202012100101200202211111202
43001332221223111231110
53221400101314330400
644203435521052032
72544033024302345
oct301765153255524
952170350684452
1013330130230100
11427a304aa9902
1215b3575787018
13759044b48538
143412789d20cc
15181b320e64d5
hexc1fa9ad5b54

13330130230100 has 144 divisors (see below), whose sum is σ = 29798262789120. Its totient is φ = 5174018841600.

The previous prime is 13330130230099. The next prime is 13330130230129. The reversal of 13330130230100 is 103203103331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248238854 + ... + 248292546.

It is an arithmetic number, because the mean of its divisors is an integer number (206932380480).

Almost surely, 213330130230100 is an apocalyptic number.

13330130230100 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 13330130230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14899131394560).

13330130230100 is an abundant number, since it is smaller than the sum of its proper divisors (16468132559020).

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

13330130230100 is a wasteful number, since it uses less digits than its factorization.

13330130230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54330 (or 54323 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13330130230100 its reverse (103203103331), we get a palindrome (13433333333431).

The spelling of 13330130230100 in words is "thirteen trillion, three hundred thirty billion, one hundred thirty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 73 100 142 146 284 292 355 365 479 710 730 958 1420 1460 1775 1825 1916 2395 3550 3650 4790 5183 7100 7300 9580 10366 11975 20732 23950 25915 34009 34967 47900 51830 53693 68018 69934 103660 107386 129575 136036 139868 170045 174835 214772 259150 268465 340090 349670 518300 536930 680180 699340 850225 874175 1073860 1342325 1700450 1748350 2482657 2684650 3400900 3496700 3812203 3919589 4965314 5369300 7624406 7839178 9930628 12413285 15248812 15678356 19061015 19597945 24826570 25718947 38122030 39195890 49653140 51437894 62066425 76244060 78391780 95305075 97989725 102875788 124132850 128594735 190610150 195979450 248265700 257189470 278290819 381220300 391958900 514378940 556581638 642973675 1113163276 1285947350 1391454095 1826045237 1877483131 2571894700 2782908190 3652090474 3754966262 5565816380 6957270475 7304180948 7509932524 9130226185 9387415655 13914540950 18260452370 18774831310 27829081900 36520904740 37549662620 45651130925 46937078275 91302261850 93874156550 133301302301 182604523700 187748313100 266602604602 533205209204 666506511505 1333013023010 2666026046020 3332532557525 6665065115050 13330130230100