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211531210324 = 22731719477329
BaseRepresentation
bin1100010100000000111…
…1100001111001010100
3202012222222021212022021
43011000033201321110
511431203442212244
6241102011542524
721165640423000
oct3050017417124
9665888255267
10211531210324
1181789943195
1234bb545aa44
1316c41308755
14a34974d700
155780994284
hex31403e1e54

211531210324 has 96 divisors (see below), whose sum is σ = 481148640000. Its totient is φ = 80832632832.

The previous prime is 211531210271. The next prime is 211531210327. The reversal of 211531210324 is 423012135112.

It is a super-2 number, since 2×2115312103242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211531210327) 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, 204492 + ... + 681820.

It is an arithmetic number, because the mean of its divisors is an integer number (5011965000).

Almost surely, 2211531210324 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 211531210324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240574320000).

211531210324 is an abundant number, since it is smaller than the sum of its proper divisors (269617429676).

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

211531210324 is a wasteful number, since it uses less digits than its factorization.

211531210324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477390 (or 477374 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 211531210324 its reverse (423012135112), we get a palindrome (634543345436).

The spelling of 211531210324 in words is "two hundred eleven billion, five hundred thirty-one million, two hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 343 476 532 646 686 833 931 1292 1372 1666 1862 2261 3332 3724 4522 5831 6517 9044 11662 13034 15827 23324 26068 31654 63308 110789 221578 443156 477329 954658 1909316 3341303 6682606 8114593 9069251 13365212 16229186 18138502 23389121 32458372 36277004 46778242 56802151 63484757 93556484 113604302 126969514 154177267 163723847 227208604 253939028 308354534 327447694 397615057 444393299 616709068 654895388 795230114 888786598 1079240869 1590460228 1777573196 2158481738 2783305399 3110753093 4316963476 5566610798 6221506186 7554686083 11133221596 12443012372 15109372166 30218744332 52882802581 105765605162 211531210324