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13232012322000 = 2435317129725611
BaseRepresentation
bin1100000010001101000101…
…1001001110010011010000
31201211222010200121122222110
43000203101121032103100
53213243130123301000
644050411425505320
72533660412656263
oct300432131162320
951758120548873
1013232012322000
114241734aa825a
1215985521a2240
1374ca0923c454
1433a60b8d6cda
1517e2dd22d850
hexc08d164e4d0

13232012322000 has 160 divisors (see below), whose sum is σ = 45169420293504. Its totient is φ = 3320975616000.

The previous prime is 13232012321989. The next prime is 13232012322127. The reversal of 13232012322000 is 22321023231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64760806 + ... + 64964805.

Almost surely, 213232012322000 is an apocalyptic number.

13232012322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232012322000 is an abundant number, since it is smaller than the sum of its proper divisors (31937407971504).

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

13232012322000 is a wasteful number, since it uses less digits than its factorization.

13232012322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129725654 (or 129725638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13232012322000 its reverse (22321023231), we get a palindrome (13254333345231).

The spelling of 13232012322000 in words is "thirteen trillion, two hundred thirty-two billion, twelve million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 129725611 259451222 389176833 518902444 648628055 778353666 1037804888 1297256110 1556707332 1945884165 2075609776 2205335387 2594512220 3113414664 3243140275 3891768330 4410670774 5189024440 6226829328 6486280550 6616006161 7783536660 8821341548 9729420825 10378048880 11026676935 12972561100 13232012322 15567073320 16215701375 17642683096 19458841650 22053353870 25945122200 26464024644 31134146640 32431402750 33080030805 35285366192 38917683300 44106707740 48647104125 51890244400 52928049288 55133384675 64862805500 66160061610 77835366600 88213415480 97294208250 105856098576 110266769350 129725611000 132320123220 155670733200 165400154025 176426830960 194588416500 220533538700 259451222000 264640246440 275666923375 330800308050 389176833000 441067077400 529280492880 551333846750 661600616100 778353666000 827000770125 882134154800 1102667693500 1323201232200 1654001540250 2205335387000 2646402464400 3308003080500 4410670774000 6616006161000 13232012322000