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101212344216 = 23325327299719
BaseRepresentation
bin101111001000010111…
…0011100111110011000
3100200020122212210212100
41132100232130332120
53124240330003331
6114255111443400
710212064505514
oct1362056347630
9320218783770
10101212344216
1139a18803275
1217747986560
13970ca36799
144c82085144
1529758b2ae6
hex1790b9cf98

101212344216 has 96 divisors (see below), whose sum is σ = 279419868000. Its totient is φ = 33085358592.

The previous prime is 101212344197. The next prime is 101212344223. The reversal of 101212344216 is 612443212101.

101212344216 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 234 + 421 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101212344216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10409005 + ... + 10418723.

It is an arithmetic number, because the mean of its divisors is an integer number (2910623625).

Almost surely, 2101212344216 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 101212344216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139709934000).

101212344216 is an abundant number, since it is smaller than the sum of its proper divisors (178207523784).

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

101212344216 is a wasteful number, since it uses less digits than its factorization.

101212344216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101212344216 its reverse (612443212101), we get a palindrome (713655556317).

The spelling of 101212344216 in words is "one hundred one billion, two hundred twelve million, three hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 2729 3816 5458 8187 9719 10916 16374 19438 21832 24561 29157 32748 38876 49122 58314 65496 77752 87471 98244 116628 144637 174942 196488 233256 289274 349884 433911 515107 578548 699768 867822 1030214 1157096 1301733 1545321 1735644 2060428 2603466 3090642 3471288 4120856 4635963 5206932 6181284 9271926 10413864 12362568 18543852 26523151 37087704 53046302 79569453 106092604 159138906 212185208 238708359 318277812 477416718 636555624 954833436 1405727003 1909666872 2811454006 4217181009 5622908012 8434362018 11245816024 12651543027 16868724036 25303086054 33737448072 50606172108 101212344216