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13332312233120 = 2552017346911909
BaseRepresentation
bin1100001000000010101110…
…1111000001010010100000
31202012120000202121001221102
43002000223233001102200
53221414033412424440
644204440225013532
72544141061104236
oct302005357012240
952176022531842
1013332312233120
114280224756a91
1215b3a844842a8
13759301c1839a
14341404706956
15181c0d95ab15
hexc202bbc14a0

13332312233120 has 96 divisors (see below), whose sum is σ = 31524934870800. Its totient is φ = 5328296902656.

The previous prime is 13332312233101. The next prime is 13332312233129. The reversal of 13332312233120 is 2133221323331.

It can be written as a sum of positive squares in 8 ways, for example, as 3218105912464 + 10114206320656 = 1793908^2 + 3180284^2 .

It is not an unprimeable number, because it can be changed into a prime (13332312233129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119509726 + ... + 1119521634.

Almost surely, 213332312233120 is an apocalyptic number.

13332312233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332312233120 is an abundant number, since it is smaller than the sum of its proper divisors (18192622637680).

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

13332312233120 is a wasteful number, since it uses less digits than its factorization.

13332312233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17410 (or 17402 counting only the distinct ones).

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

Adding to 13332312233120 its reverse (2133221323331), we get a palindrome (15465533556451).

The spelling of 13332312233120 in words is "thirteen trillion, three hundred thirty-two billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2017 3469 4034 6938 8068 10085 11909 13876 16136 17345 20170 23818 27752 32272 34690 40340 47636 55504 59545 64544 69380 80680 95272 111008 119090 138760 161360 190544 238180 277520 322720 381088 476360 555040 952720 1905440 6996973 13993946 24020453 27987892 34984865 41312321 48040906 55975784 69969730 82624642 96081812 111951568 120102265 139939460 165249284 192163624 206561605 223903136 240204530 279878920 330498568 384327248 413123210 480409060 559757840 660997136 768654496 826246420 960818120 1119515680 1321994272 1652492840 1921636240 3304985680 3843272480 6609971360 83326951457 166653902914 333307805828 416634757285 666615611656 833269514570 1333231223312 1666539029140 2666462446624 3333078058280 6666156116560 13332312233120