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212143312101344 = 25134317577156157
BaseRepresentation
bin110000001111000101110110…
…110000100101111111100000
31000211010200222011201020000012
4300033011312300211333200
5210301224000344220334
62031105143035144052
762453564016152501
oct6017056660457740
91024120864636005
10212143312101344
1161660523131028
121b962965ba5028
13914b04a79bc20
143a55b10a7aba8
15197d5038749ce
hexc0f176c25fe0

212143312101344 has 96 divisors (see below), whose sum is σ = 450890589211776. Its totient is φ = 97671605391360.

The previous prime is 212143312101337. The next prime is 212143312101499. The reversal of 212143312101344 is 443101213341212.

212143312101344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 212143312101344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358447714 + ... + 1358603870.

It is an arithmetic number, because the mean of its divisors is an integer number (4696776970956).

Almost surely, 2212143312101344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212143312101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225445294605888).

212143312101344 is an abundant number, since it is smaller than the sum of its proper divisors (238747277110432).

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

212143312101344 is a wasteful number, since it uses less digits than its factorization.

212143312101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164188 (or 164180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 212143312101344 its reverse (443101213341212), we get a palindrome (655244525442556).

The spelling of 212143312101344 in words is "two hundred twelve trillion, one hundred forty-three billion, three hundred twelve million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 431 862 1724 3448 5603 6896 7577 11206 13792 15154 22412 30308 44824 60616 89648 98501 121232 156157 179296 197002 242464 312314 394004 624628 788008 1249256 1576016 2030041 2498512 3152032 3265687 4060082 4997024 6531374 8120164 13062748 16240328 26125496 32480656 42453931 52250992 64961312 67303667 84907862 104501984 134607334 169815724 269214668 339631448 538429336 679262896 874947671 1076858672 1183201589 1358525792 1749895342 2153717344 2366403178 3499790684 4732806356 6999581368 9465612712 13999162736 15381620657 18931225424 27998325472 30763241314 37862450848 61526482628 123052965256 246105930512 492211861024 509959884859 1019919769718 2039839539436 4079679078872 6629478503167 8159358157744 13258957006334 16318716315488 26517914012668 53035828025336 106071656050672 212143312101344