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212311013032200 = 2335219711493175691
BaseRepresentation
bin110000010001100010000010…
…100000111000000100001000
31000211201201211112121012011110
4300101202002200320010020
5210312000423314012300
62031314155524130320
762501651552434245
oct6021420240700410
91024651745535143
10212311013032200
116171565aa13555
121b98b3688369a0
139160ac5318764
143a5dc9d2485cc
151982a6b434550
hexc11882838108

212311013032200 has 384 divisors, whose sum is σ = 703036738483200. Its totient is φ = 52845303168000.

The previous prime is 212311013032103. The next prime is 212311013032229. The reversal of 212311013032200 is 2230310113212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1208346355 + ... + 1208522045.

It is an arithmetic number, because the mean of its divisors is an integer number (1830824839800).

Almost surely, 2212311013032200 is an apocalyptic number.

212311013032200 is a gapful number since it is divisible by the number (20) 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 212311013032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351518369241600).

212311013032200 is an abundant number, since it is smaller than the sum of its proper divisors (490725725451000).

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

212311013032200 is a wasteful number, since it uses less digits than its factorization.

212311013032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177293 (or 177284 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212311013032200 its reverse (2230310113212), we get a palindrome (214541323145412).

The spelling of 212311013032200 in words is "two hundred twelve trillion, three hundred eleven billion, thirteen million, thirty-two thousand, two hundred".