Search a number
-
+
213343414011232 = 25172360257282973
BaseRepresentation
bin110000100000100011100010…
…011010000100010101100000
31000222101102122100011220001221
4300200203202122010111200
5210430404302441324412
62033424340020104424
762636360453114101
oct6040434232042540
91028342570156057
10213343414011232
1161a834853a356a
121bb17471835114
13920727521882b
143a97c3a9323a8
15199e842490b07
hexc208e2684560

213343414011232 has 96 divisors (see below), whose sum is σ = 464072189499072. Its totient is φ = 96029885005824.

The previous prime is 213343414011127. The next prime is 213343414011239. The reversal of 213343414011232 is 232110414343312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213343414011239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753794098 + ... + 754077070.

It is an arithmetic number, because the mean of its divisors is an integer number (4834085307282).

Almost surely, 2213343414011232 is an apocalyptic number.

It is an amenable number.

213343414011232 is an abundant number, since it is smaller than the sum of its proper divisors (250728775487840).

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

213343414011232 is a wasteful number, since it uses less digits than its factorization.

213343414011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343280 (or 343272 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 213343414011232 its reverse (232110414343312), we get a palindrome (445453828354544).

The spelling of 213343414011232 in words is "two hundred thirteen trillion, three hundred forty-three billion, four hundred fourteen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 12512 60257 120514 241028 282973 482056 565946 964112 1024369 1131892 1385911 1928224 2048738 2263784 2771822 4097476 4527568 4810541 5543644 6508379 8194952 9055136 9621082 11087288 13016758 16389904 19242164 22174576 23560487 26033516 32779808 38484328 44349152 47120974 52067032 76968656 94241948 104134064 110642443 153937312 188483896 208268128 221284886 376967792 442569772 753935584 885139544 1770279088 3540558176 17051104061 34102208122 68204416244 136408832488 272817664976 289868769037 392175393403 545635329952 579737538074 784350786806 1159475076148 1568701573612 2318950152296 3137403147224 4637900304592 6274806294448 6666981687851 9275800609184 12549612588896 13333963375702 26667926751404 53335853502808 106671707005616 213343414011232