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13230331113200 = 2452167257770657
BaseRepresentation
bin1100000010000110110100…
…1011111010111011110000
31201211210210112010102001212
43000201231023322323300
53213231204231110300
644045532531415252
72533600636640015
oct300415513727360
951753715112055
1013230331113200
114240a51aaa1a3
121598163154528
1374c7cbb42046
1433a4cc50370c
1517e24083c935
hexc086d2faef0

13230331113200 has 120 divisors (see below), whose sum is σ = 32100667738272. Its totient is φ = 5239967580160.

The previous prime is 13230331113133. The next prime is 13230331113217. The reversal of 13230331113200 is 231113303231.

13230331113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132303311132002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16782272 + ... + 17552928.

Almost surely, 213230331113200 is an apocalyptic number.

13230331113200 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 13230331113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050333869136).

13230331113200 is an abundant number, since it is smaller than the sum of its proper divisors (18870336625072).

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

13230331113200 is a wasteful number, since it uses less digits than its factorization.

13230331113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771099 (or 771088 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13230331113200 its reverse (231113303231), we get a palindrome (13461444416431).

The spelling of 13230331113200 in words is "thirteen trillion, two hundred thirty billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 167 200 257 334 400 514 668 835 1028 1285 1336 1670 2056 2570 2672 3340 4112 4175 5140 6425 6680 8350 10280 12850 13360 16700 20560 25700 33400 42919 51400 66800 85838 102800 171676 214595 343352 429190 686704 770657 858380 1072975 1541314 1716760 2145950 3082628 3433520 3853285 4291900 6165256 7706570 8583800 12330512 15413140 17167600 19266425 30826280 38532850 61652560 77065700 128699719 154131400 198058849 257399438 308262800 396117698 514798876 643498595 792235396 990294245 1029597752 1286997190 1584470792 1980588490 2059195504 2573994380 3168941584 3217492975 3961176980 4951471225 5147988760 6434985950 7922353960 9902942450 10295977520 12869971900 15844707920 19805884900 25739943800 33075827783 39611769800 51479887600 66151655566 79223539600 132303311132 165379138915 264606622264 330758277830 529213244528 661516555660 826895694575 1323033111320 1653791389150 2646066222640 3307582778300 6615165556600 13230331113200