Search a number
-
+
100012202212 = 221329476721061
BaseRepresentation
bin101110100100100110…
…0010001100011100100
3100120011000121021112111
41131021030101203210
53114311110432322
6113540040330404
710140252456316
oct1351114214344
9316130537474
10100012202212
113946230a87a
1217471a73a04
13957b1c27a0
144baa9197b6
15290534a177
hex17493118e4

100012202212 has 96 divisors (see below), whose sum is σ = 202114321920. Its totient is φ = 42966443520.

The previous prime is 100012202209. The next prime is 100012202243. The reversal of 100012202212 is 212202210001.

It is a happy number.

It is a super-3 number, since 3×1000122022123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100012202192 and 100012202201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4738162 + ... + 4759222.

It is an arithmetic number, because the mean of its divisors is an integer number (2105357520).

Almost surely, 2100012202212 is an apocalyptic number.

It is an amenable number.

100012202212 is an abundant number, since it is smaller than the sum of its proper divisors (102102119708).

100012202212 is a wasteful number, since it uses less digits than its factorization.

100012202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221 (or 21219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100012202212 its reverse (212202210001), we get a palindrome (312214412213).

The spelling of 100012202212 in words is "one hundred billion, twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 13 26 29 47 52 58 67 94 116 134 188 268 377 611 754 871 1222 1363 1508 1742 1943 2444 2726 3149 3484 3886 5452 6298 7772 12596 17719 21061 25259 35438 40937 42122 50518 70876 81874 84244 91321 101036 163748 182642 273793 365284 547586 610769 989867 1095172 1187173 1221538 1411087 1979734 2374346 2443076 2822174 3959468 4748692 5644348 7939997 12868271 15879994 18344131 25736542 28706143 31759988 36688262 40921523 51473084 57412286 66321089 73376524 81843046 114824572 132642178 163686092 265284356 373179859 531979799 746359718 862174157 1063959598 1492719436 1724348314 1923311581 2127919196 3448696628 3846623162 7693246324 25003050553 50006101106 100012202212