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211001022012 = 2231119290928921
BaseRepresentation
bin1100010010000010100…
…1000001011000111100
3202011122000122111200010
43010200221001120330
511424112230201022
6240533232103220
721146542044324
oct3044051013074
9664560574603
10211001022012
1181537637930
1234a87994b10
1316b88513a61
14a2d917a284
15574e16650c
hex3120a4163c

211001022012 has 96 divisors (see below), whose sum is σ = 565575494400. Its totient is φ = 60551539200.

The previous prime is 211001021983. The next prime is 211001022041. The reversal of 211001022012 is 210220100112.

It is an interprime number because it is at equal distance from previous prime (211001021983) and next prime (211001022041).

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

It is a congruent number.

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, 7281312 + ... + 7310232.

It is an arithmetic number, because the mean of its divisors is an integer number (5891411400).

Almost surely, 2211001022012 is an apocalyptic number.

211001022012 is a gapful number since it is divisible by the number (22) 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 211001022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282787747200).

211001022012 is an abundant number, since it is smaller than the sum of its proper divisors (354574472388).

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

211001022012 is a wasteful number, since it uses less digits than its factorization.

211001022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31867 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211001022012 its reverse (210220100112), we get a palindrome (421221122124).

The spelling of 211001022012 in words is "two hundred eleven billion, one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 2909 5818 8727 11636 17454 28921 31999 34908 55271 57842 63998 86763 95997 110542 115684 127996 165813 173526 191994 221084 318131 331626 347052 383988 549499 607981 636262 663252 954393 1098998 1215962 1272524 1648497 1823943 1908786 2197996 2431924 3296994 3647886 3817572 6044489 6593988 7295772 12088978 18133467 24177956 36266934 72533868 84131189 168262378 252393567 336524756 504787134 925443079 1009574268 1598492591 1850886158 2776329237 3196985182 3701772316 4795477773 5552658474 6393970364 9590955546 11105316948 17583418501 19181911092 35166837002 52750255503 70333674004 105500511006 211001022012