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211013102322 = 23311834280011
BaseRepresentation
bin1100010010000101011…
…1000110101011110010
3202011122212101020202000
43010201113012223302
511424123323233242
6240534343034430
721150046530021
oct3044127065362
9664585336660
10211013102322
1181543438a60
1234a8ba3ba16
1316b8ab83479
14a2daa028b8
155750250a4c
hex31215c6af2

211013102322 has 64 divisors (see below), whose sum is σ = 517710251520. Its totient is φ = 63172947600.

The previous prime is 211013102309. The next prime is 211013102341. The reversal of 211013102322 is 223201310112.

211013102322 is a `hidden beast` number, since 21 + 10 + 1 + 310 + 2 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211013102295 and 211013102304.

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, 2090704 + ... + 2189307.

It is an arithmetic number, because the mean of its divisors is an integer number (8089222680).

Almost surely, 2211013102322 is an apocalyptic number.

211013102322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211013102322 is an abundant number, since it is smaller than the sum of its proper divisors (306697149198).

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

211013102322 is a wasteful number, since it uses less digits than its factorization.

211013102322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280116 (or 4280110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211013102322 its reverse (223201310112), we get a palindrome (434214412434).

The spelling of 211013102322 in words is "two hundred eleven billion, thirteen million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 198 249 297 498 594 747 913 1494 1826 2241 2739 4482 5478 8217 16434 24651 49302 4280011 8560022 12840033 25680066 38520099 47080121 77040198 94160242 115560297 141240363 231120594 282480726 355240913 423721089 710481826 847442178 1065722739 1271163267 2131445478 2542326534 3197168217 3907650043 6394336434 7815300086 9591504651 11722950129 19183009302 23445900258 35168850387 70337700774 105506551161 211013102322