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213123331232120 = 23528618747212909
BaseRepresentation
bin110000011101010110100100…
…011100111001000101111000
31000221121101120101121022201202
4300131112210130321011320
5210413303040243411440
62033135301242233332
762614436553263501
oct6035264434710570
91027541511538652
10213123331232120
11619a9108404161
121baa08904b5848
1391bc5a032a70a
143a8b31d57bba8
151998c60d9d615
hexc1d5a4739178

213123331232120 has 64 divisors (see below), whose sum is σ = 479752198034400. Its totient is φ = 85209392519680.

The previous prime is 213123331232101. The next prime is 213123331232129. The reversal of 213123331232120 is 21232133321312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213123331232129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000900226 + ... + 1001113134.

Almost surely, 2213123331232120 is an apocalyptic number.

213123331232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213123331232120 is an abundant number, since it is smaller than the sum of its proper divisors (266628866802280).

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

213123331232120 is a wasteful number, since it uses less digits than its factorization.

213123331232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224528 (or 224524 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 213123331232120 its reverse (21232133321312), we get a palindrome (234355464553432).

The spelling of 213123331232120 in words is "two hundred thirteen trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2861 5722 8747 11444 14305 17494 22888 28610 34988 43735 57220 69976 87470 114440 174940 212909 349880 425818 851636 1064545 1703272 2129090 4258180 8516360 25025167 50050334 100100668 125125835 200201336 250251670 500503340 609132649 1001006680 1218265298 1862315023 2436530596 3045663245 3724630046 4873061192 6091326490 7449260092 9311575115 12182652980 14898520184 18623150230 24365305960 37246300460 74492600920 5328083280803 10656166561606 21312333123212 26640416404015 42624666246424 53280832808030 106561665616060 213123331232120