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13022100322000 = 245371184559093
BaseRepresentation
bin1011110101111111000110…
…1010011111011011010000
31201002220022120011012122221
42331133301222133123100
53201323230140301000
643410134215110424
72512546533263140
oct275376152373320
951086276135587
1013022100322000
114170707167820
12156392b072414
13735c95534623
143303b723c920
15178b049d061a
hexbd7f1a9f6d0

13022100322000 has 160 divisors (see below), whose sum is σ = 39257066744064. Its totient is φ = 4058836416000.

The previous prime is 13022100321977. The next prime is 13022100322001. The reversal of 13022100322000 is 22300122031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022100322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42125547 + ... + 42433546.

Almost surely, 213022100322000 is an apocalyptic number.

13022100322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022100322000 is an abundant number, since it is smaller than the sum of its proper divisors (26234966422064).

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

13022100322000 is a wasteful number, since it uses less digits than its factorization.

13022100322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84559134 (or 84559118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13022100322000 its reverse (22300122031), we get a palindrome (13044400444031).

The spelling of 13022100322000 in words is "thirteen trillion, twenty-two billion, one hundred million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 84559093 169118186 338236372 422795465 591913651 676472744 845590930 930150023 1183827302 1352945488 1691181860 1860300046 2113977325 2367654604 2959568255 3382363720 3720600092 4227954650 4650750115 4735309208 5919136510 6511050161 6764727440 7441200184 8455909300 9301500230 9470618416 10569886625 11838273020 13022100322 14797841275 14882400368 16911818600 18603000460 21139773250 23253750575 23676546040 26044200644 29595682550 32555250805 33823637200 37206000920 42279546500 46507501150 47353092080 52088401288 59191365100 65110501610 73989206375 74412001840 84559093000 93015002300 104176802576 116268752875 118382730200 130221003220 147978412750 162776254025 169118186000 186030004600 232537505750 236765460400 260442006440 295956825500 325552508050 372060009200 465075011500 520884012880 591913651000 651105016100 813881270125 930150023000 1183827302000 1302210032200 1627762540250 1860300046000 2604420064400 3255525080500 6511050161000 13022100322000