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100011211212 = 2231110110637057
BaseRepresentation
bin101110100100100100…
…0011111100111001100
3100120010221201221010210
41131021020133213030
53114310332224322
6113540003202420
710140241161153
oct1351110374714
9316127657123
10100011211212
11394617a3270
1217471676410
13957ac366b3
144baa73c59a
15290520170c
hex174921f9cc

100011211212 has 96 divisors (see below), whose sum is σ = 257372849664. Its totient is φ = 29973888000.

The previous prime is 100011211211. The next prime is 100011211229. The reversal of 100011211212 is 212112110001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100011211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14168388 + ... + 14175444.

It is an arithmetic number, because the mean of its divisors is an integer number (2680967184).

Almost surely, 2100011211212 is an apocalyptic number.

100011211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128686424832).

100011211212 is an abundant number, since it is smaller than the sum of its proper divisors (157361638452).

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

100011211212 is a wasteful number, since it uses less digits than its factorization.

100011211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100011211212 its reverse (212112110001), we get a palindrome (312123321213).

The spelling of 100011211212 in words is "one hundred billion, eleven million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1063 1111 1212 2126 2222 3189 3333 4252 4444 6378 6666 7057 11693 12756 13332 14114 21171 23386 28228 35079 42342 46772 70158 77627 84684 107363 140316 155254 214726 232881 310508 322089 429452 465762 644178 712757 931524 1180993 1288356 1425514 2138271 2361986 2851028 3542979 4276542 4723972 7085958 7501591 7840327 8553084 14171916 15003182 15680654 22504773 23520981 30006364 31361308 45009546 47041962 82517501 90019092 94083924 165035002 247552503 330070004 495105006 757660691 990210012 1515321382 2272982073 3030642764 4545964146 8334267601 9091928292 16668535202 25002802803 33337070404 50005605606 100011211212