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211322400211140 = 223519185370526501
BaseRepresentation
bin110000000011001001010100…
…100110010000000011000100
31000201020020001102011101120120
4300003021110212100003010
5210144301233423224030
62025240100452301540
762340353035213521
oct6003112446200304
91021206042141516
10211322400211140
1161374365834749
121b84b8443118b0
1390bb80324a22a
143a280b729a148
151966ea973c010
hexc032549900c4

211322400211140 has 48 divisors (see below), whose sum is σ = 622844969046720. Its totient is φ = 53386711632000.

The previous prime is 211322400211129. The next prime is 211322400211163. The reversal of 211322400211140 is 41112004223112.

It is a self number, because there is not a number n which added to its sum of digits gives 211322400211140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92685262111 + ... + 92685264390.

It is an arithmetic number, because the mean of its divisors is an integer number (12975936855140).

Almost surely, 2211322400211140 is an apocalyptic number.

211322400211140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322400211140 is an abundant number, since it is smaller than the sum of its proper divisors (411522568835580).

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

211322400211140 is a wasteful number, since it uses less digits than its factorization.

211322400211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185370526532 (or 185370526530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211322400211140 its reverse (41112004223112), we get a palindrome (252434404434252).

The spelling of 211322400211140 in words is "two hundred eleven trillion, three hundred twenty-two billion, four hundred million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 185370526501 370741053002 556111579503 741482106004 926852632505 1112223159006 1853705265010 2224446318012 2780557897515 3522040003519 3707410530020 5561115795030 7044080007038 10566120010557 11122231590060 14088160014076 17610200017595 21132240021114 35220400035190 42264480042228 52830600052785 70440800070380 105661200105570 211322400211140