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22431300321312 = 2532292685739981
BaseRepresentation
bin1010001100110101100011…
…01100000000000000100000
32221102102002212221210111100
411012122301230000000200
510420003300340240222
6115412444101514400
74503415350536031
oct506326154000040
987372085853440
1022431300321312
117169074280963
122623405112a00
13c69354a6980c
14577975cc0a88
1528d7525db4ac
hex1466b1b00020

22431300321312 has 72 divisors (see below), whose sum is σ = 65988631357740. Its totient is φ = 7219269066240.

The previous prime is 22431300321277. The next prime is 22431300321359. The reversal of 22431300321312 is 21312300313422.

22431300321312 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 1 + 300 + 321 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20289655395216 + 2141644926096 = 4504404^2 + 1463436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342861639 + ... + 1342878342.

Almost surely, 222431300321312 is an apocalyptic number.

It is an amenable number.

22431300321312 is an abundant number, since it is smaller than the sum of its proper divisors (43557331036428).

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

22431300321312 is a wasteful number, since it uses less digits than its factorization.

22431300321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685740026 (or 2685740015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22431300321312 its reverse (21312300313422), we get a palindrome (43743600634734).

The spelling of 22431300321312 in words is "twenty-two trillion, four hundred thirty-one billion, three hundred million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 2685739981 5371479962 8057219943 10742959924 16114439886 21485919848 24171659829 32228879772 42971839696 48343319658 64457759544 77886459449 85943679392 96686639316 128915519088 155772918898 193373278632 233659378347 257831038176 311545837796 386746557264 467318756694 623091675592 700978135041 773493114528 934637513388 1246183351184 1401956270082 1869275026776 2492366702368 2803912540164 3738550053552 5607825080328 7477100107104 11215650160656 22431300321312