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13200210100 = 22527111990227
BaseRepresentation
bin11000100101100101…
…10011100010110100
31021001221112011002101
430102302303202310
5204013223210400
610021502151444
7645053635360
oct142262634264
937057464071
1013200210100
1156641a1250
122684882584
131324a0080c
148d31a42a0
15523ced56a
hex312cb38b4

13200210100 has 144 divisors (see below), whose sum is σ = 37592593920. Its totient is φ = 3897763200.

The previous prime is 13200210077. The next prime is 13200210137. The reversal of 13200210100 is 101200231.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 101187 + ... + 191413.

It is an arithmetic number, because the mean of its divisors is an integer number (261059680).

Almost surely, 213200210100 is an apocalyptic number.

13200210100 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 13200210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796296960).

13200210100 is an abundant number, since it is smaller than the sum of its proper divisors (24392383820).

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

13200210100 is a wasteful number, since it uses less digits than its factorization.

13200210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90278 (or 90271 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13200210100 its reverse (101200231), we get a palindrome (13301410331).

The spelling of 13200210100 in words is "thirteen billion, two hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 25 28 35 38 44 50 55 70 76 77 95 100 110 133 140 154 175 190 209 220 266 275 308 350 380 385 418 475 532 550 665 700 770 836 950 1045 1100 1330 1463 1540 1900 1925 2090 2660 2926 3325 3850 4180 5225 5852 6650 7315 7700 10450 13300 14630 20900 29260 36575 73150 90227 146300 180454 360908 451135 631589 902270 992497 1263178 1714313 1804540 1984994 2255675 2526356 3157945 3428626 3969988 4511350 4962485 6315890 6857252 6947479 8571565 9022700 9924970 12000191 12631780 13894958 15789725 17143130 18857443 19849940 24000382 24812425 27789916 31579450 34286260 34737395 37714886 42857825 48000764 49624850 60000955 63158900 69474790 75429772 85715650 94287215 99249700 120001910 132002101 138949580 171431300 173686975 188574430 240003820 264004202 300004775 347373950 377148860 471436075 528008404 600009550 660010505 694747900 942872150 1200019100 1320021010 1885744300 2640042020 3300052525 6600105050 13200210100