Search a number
-
+
212311410421110 = 2357111360471169171
BaseRepresentation
bin110000010001100010011010…
…001100110010110101110110
31000211201202212020100122021020
4300101202122030302311312
5210312002232031433420
62031314303201402010
762501664446252430
oct6021423214626566
91024652766318236
10212311410421110
1161715844265740
121b98b459939306
139160b59754720
143a5dcd9d2d650
151982a9127e340
hexc1189a332d76

212311410421110 has 256 divisors, whose sum is σ = 684261261508608. Its totient is φ = 40716298483200.

The previous prime is 212311410421087. The next prime is 212311410421127. The reversal of 212311410421110 is 11124014113212.

It is a super-3 number, since 3×2123114104211103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181006825 + ... + 182175995.

It is an arithmetic number, because the mean of its divisors is an integer number (2672895552768).

Almost surely, 2212311410421110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212311410421110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342130630754304).

212311410421110 is an abundant number, since it is smaller than the sum of its proper divisors (471949851087498).

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

212311410421110 is a wasteful number, since it uses less digits than its factorization.

212311410421110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175259.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 212311410421110 its reverse (11124014113212), we get a palindrome (223435424534322).

The spelling of 212311410421110 in words is "two hundred twelve trillion, three hundred eleven billion, four hundred ten million, four hundred twenty-one thousand, one hundred ten".