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13330204200 = 23325250314723
BaseRepresentation
bin11000110101000101…
…01100011000101000
31021102000010112110200
430122202230120220
5204300013013300
610042424312200
7651222603045
oct143242543050
937360115420
1013330204200
115720609795
122700312660
1313459166c1
149065621cc
1553042a200
hex31a8ac628

13330204200 has 144 divisors (see below), whose sum is σ = 44859316320. Its totient is φ = 3547413120.

The previous prime is 13330204187. The next prime is 13330204213. The reversal of 13330204200 is 240203331.

It is an interprime number because it is at equal distance from previous prime (13330204187) and next prime (13330204213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 898039 + ... + 912761.

It is an arithmetic number, because the mean of its divisors is an integer number (311523030).

Almost surely, 213330204200 is an apocalyptic number.

13330204200 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 13330204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429658160).

13330204200 is an abundant number, since it is smaller than the sum of its proper divisors (31529112120).

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

13330204200 is a wasteful number, since it uses less digits than its factorization.

13330204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15248 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13330204200 its reverse (240203331), we get a palindrome (13570407531).

The spelling of 13330204200 in words is "thirteen billion, three hundred thirty million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 503 600 900 1006 1509 1800 2012 2515 3018 4024 4527 5030 6036 7545 9054 10060 12072 12575 14723 15090 18108 20120 22635 25150 29446 30180 36216 37725 44169 45270 50300 58892 60360 73615 75450 88338 90540 100600 113175 117784 132507 147230 150900 176676 181080 220845 226350 265014 294460 301800 353352 368075 441690 452700 530028 588920 662535 736150 883380 905400 1060056 1104225 1325070 1472300 1766760 2208450 2650140 2944600 3312675 4416900 5300280 6625350 7405669 8833800 13250700 14811338 22217007 26501400 29622676 37028345 44434014 59245352 66651021 74056690 88868028 111085035 133302042 148113380 177736056 185141725 222170070 266604084 296226760 333255105 370283450 444340140 533208168 555425175 666510210 740566900 888680280 1110850350 1333020420 1481133800 1666275525 2221700700 2666040840 3332551050 4443401400 6665102100 13330204200