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13132233213320 = 2351397599434647
BaseRepresentation
bin1011111100011001011000…
…0110001000010110001000
31201111102120220121202122202
42333012112012020112020
53210124303200311240
643532510433135332
72523525660355634
oct277062606102610
951442526552582
1013132233213320
114203392324071
1215811463ba548
13743497420040
14335863d35dc4
1517b8ed5c8315
hexbf196188588

13132233213320 has 128 divisors (see below), whose sum is σ = 32202201024000. Its totient is φ = 4790814253056.

The previous prime is 13132233213293. The next prime is 13132233213349. The reversal of 13132233213320 is 2331233223131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29996237 + ... + 30430883.

It is an arithmetic number, because the mean of its divisors is an integer number (251579695500).

Almost surely, 213132233213320 is an apocalyptic number.

13132233213320 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 13132233213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101100512000).

13132233213320 is an abundant number, since it is smaller than the sum of its proper divisors (19069967810680).

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

13132233213320 is a wasteful number, since it uses less digits than its factorization.

13132233213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435367 (or 435363 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13132233213320 its reverse (2331233223131), we get a palindrome (15463466436451).

The spelling of 13132233213320 in words is "thirteen trillion, one hundred thirty-two billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 599 776 970 1198 1261 1940 2396 2522 2995 3880 4792 5044 5990 6305 7787 10088 11980 12610 15574 23960 25220 31148 38935 50440 58103 62296 77870 116206 155740 232412 290515 311480 434647 464824 581030 755339 869294 1162060 1510678 1738588 2173235 2324120 3021356 3477176 3776695 4346470 5650411 6042712 7553390 8692940 11300822 15106780 17385880 22601644 28252055 30213560 42160759 45203288 56504110 84321518 113008220 168643036 210803795 226016440 260353553 337286072 421607590 520707106 548089867 843215180 1041414212 1096179734 1301767765 1686430360 2082828424 2192359468 2603535530 2740449335 3384596189 4384718936 5207071060 5480898670 6769192378 10414142120 10961797340 13538384756 16922980945 21923594680 25254294641 27076769512 33845961890 50508589282 67691923780 101017178564 126271473205 135383847560 202034357128 252542946410 328305830333 505085892820 656611660666 1010171785640 1313223321332 1641529151665 2626446642664 3283058303330 6566116606660 13132233213320