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13200212300 = 22521131521743
BaseRepresentation
bin11000100101100101…
…10100000101001100
31021001221112021002212
430102302310011030
5204013223243200
610021502205552
7645053644652
oct142262640514
937057467085
1013200212300
1156641a2970
1226848838b8
131324a01812
148d31a4dd2
15523cee035
hex312cb414c

13200212300 has 144 divisors (see below), whose sum is σ = 32361928704. Its totient is φ = 4630080000.

The previous prime is 13200212297. The next prime is 13200212329. The reversal of 13200212300 is 321200231.

It is a happy 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, 17765729 + ... + 17766471.

It is an arithmetic number, because the mean of its divisors is an integer number (224735616).

Almost surely, 213200212300 is an apocalyptic number.

13200212300 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 13200212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180964352).

13200212300 is an abundant number, since it is smaller than the sum of its proper divisors (19161716404).

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

13200212300 is a wasteful number, since it uses less digits than its factorization.

13200212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13200212300 its reverse (321200231), we get a palindrome (13521412531).

The spelling of 13200212300 in words is "thirteen billion, two hundred million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 521 550 620 682 743 775 1042 1100 1364 1486 1550 1705 2084 2605 2972 3100 3410 3715 5210 5731 6820 7430 8173 8525 10420 11462 13025 14860 16151 16346 17050 18575 22924 23033 26050 28655 32302 32692 34100 37150 40865 46066 52100 57310 64604 74300 80755 81730 92132 114620 115165 143275 161510 163460 177661 204325 230330 253363 286550 323020 355322 387103 403775 408650 460660 506726 573100 575825 710644 774206 807550 817300 888305 1013452 1151650 1266815 1548412 1615100 1776610 1935515 2303300 2533630 3553220 3871030 4258133 4441525 5067260 6334075 7742060 8516266 8883050 9677575 12000193 12668150 17032532 17766100 19355150 21290665 24000386 25336300 38710300 42581330 48000772 60000965 85162660 106453325 120001930 132002123 212906650 240003860 264004246 300004825 425813300 528008492 600009650 660010615 1200019300 1320021230 2640042460 3300053075 6600106150 13200212300