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211242434221032 = 233233537127152111
BaseRepresentation
bin110000000001111110110110…
…010000001101001111101000
31000200221120122110001012101020
4300001332312100031033220
5210141444001130033112
62025135233511452440
762331522305421234
oct6001766620151750
91020846573035336
10211242434221032
1161343460047815
121b838247987120
1390b40cb192616
143a2428cc555c4
151964d7923a48c
hexc01fb640d3e8

211242434221032 has 128 divisors (see below), whose sum is σ = 552709490319360. Its totient is φ = 67151994398720.

The previous prime is 211242434221031. The next prime is 211242434221067. The reversal of 211242434221032 is 230122434242112.

It is a super-2 number, since 2×2112424342210322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211242434220984 and 211242434221002.

It is not an unprimeable number, because it can be changed into a prime (211242434221031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388662657 + ... + 1388814767.

It is an arithmetic number, because the mean of its divisors is an integer number (4318042893120).

Almost surely, 2211242434221032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211242434221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276354745159680).

211242434221032 is an abundant number, since it is smaller than the sum of its proper divisors (341467056098328).

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

211242434221032 is a wasteful number, since it uses less digits than its factorization.

211242434221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159623 (or 159619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 211242434221032 its reverse (230122434242112), we get a palindrome (441364868463144).

The spelling of 211242434221032 in words is "two hundred eleven trillion, two hundred forty-two billion, four hundred thirty-four million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 353 552 706 1059 1412 2118 2824 4236 7127 8119 8472 14254 16238 21381 24357 28508 32476 42762 48714 57016 64952 85524 97428 152111 163921 171048 194856 304222 327842 456333 491763 608444 655684 912666 983526 1216888 1311368 1825332 1967052 2515831 3498553 3650664 3934104 5031662 6997106 7547493 10063324 10495659 13994212 15094986 20126648 20991318 27988424 30189972 41982636 53695183 57864113 60379944 83965272 107390366 115728226 161085549 173592339 214780732 231456452 322171098 347184678 429561464 462912904 644342196 694369356 1084095097 1234989209 1288684392 1388738712 2168190194 2469978418 3252285291 3704967627 4336380388 4939956836 6504570582 7409935254 8672760776 9879913672 13009141164 14819870508 24934187231 26018282328 29639741016 49868374462 74802561693 99736748924 149605123386 199473497848 299210246772 382685569241 598420493544 765371138482 1148056707723 1530742276964 2296113415446 3061484553928 4592226830892 8801768092543 9184453661784 17603536185086 26405304277629 35207072370172 52810608555258 70414144740344 105621217110516 211242434221032