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213021330222232 = 237223141491669873
BaseRepresentation
bin110000011011110111100100…
…101101111010110010011000
31000221020122021202201010221201
4300123313210231322302120
5210410120141014102412
62033020351554443544
762604166101066100
oct6033674455726230
91027218252633851
10213021330222232
1161969925501784
121ba84b645935b4
1391b2a960ac06c
143a8640487c200
151996291151e57
hexc1bde4b7ac98

213021330222232 has 96 divisors (see below), whose sum is σ = 484861274892000. Its totient is φ = 87319290110976.

The previous prime is 213021330222227. The next prime is 213021330222307. The reversal of 213021330222232 is 232222033120312.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 213021330222232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126732448 + ... + 128402320.

It is an arithmetic number, because the mean of its divisors is an integer number (5050638280125).

Almost surely, 2213021330222232 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 213021330222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242430637446000).

213021330222232 is an abundant number, since it is smaller than the sum of its proper divisors (271839944669768).

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

213021330222232 is a wasteful number, since it uses less digits than its factorization.

213021330222232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684065 (or 1684054 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 213021330222232 its reverse (232222033120312), we get a palindrome (445243363342544).

The spelling of 213021330222232 in words is "two hundred thirteen trillion, twenty-one billion, three hundred thirty million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4508 9016 14149 28298 56596 99043 113192 198086 325427 396172 650854 693301 792344 1301708 1386602 1669873 2277989 2603416 2773204 3339746 4555978 5546408 6679492 9111956 11689111 13358984 15945923 18223912 23378222 31891846 38407079 46756444 63783692 76814158 81823777 93512888 127567384 153628316 163647554 268849553 307256632 327295108 537699106 654590216 1075398212 1881946871 2150796424 3763893742 7527787484 15055574968 23627033077 47254066154 94508132308 165389231539 189016264616 330778463078 543421760771 661556926156 1086843521542 1157724620773 1323113852312 2173687043084 2315449241546 3803952325397 4347374086168 4630898483092 7607904650794 9261796966184 15215809301588 26627666277779 30431618603176 53255332555558 106510665111116 213021330222232