Search a number
-
+
213322012431232 = 27179104928461
BaseRepresentation
bin110000100000001111100110…
…110001100001001110000000
31000222022101101211022222111211
4300200033212301201032000
5210430031440140244412
62033410440222015504
762635002221514115
oct6040174661411600
91028271354288454
10213322012431232
1161a753a27a6771
121bb1329a417594
13920524435b223
143a96baa44690c
15199dedd66bca7
hexc203e6c61380

213322012431232 has 96 divisors (see below), whose sum is σ = 427809956815800. Its totient is φ = 105951500144640.

The previous prime is 213322012431193. The next prime is 213322012431247. The reversal of 213322012431232 is 232134210223312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213322012431194 and 213322012431203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25212383482 + ... + 25212391942.

Almost surely, 2213322012431232 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 213322012431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213904978407900).

213322012431232 is an abundant number, since it is smaller than the sum of its proper divisors (214487944384568).

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

213322012431232 is an frugal number, since it uses more digits than its factorization.

213322012431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 213322012431232 its reverse (232134210223312), we get a palindrome (445456222654544).

The spelling of 213322012431232 in words is "two hundred thirteen trillion, three hundred twenty-two billion, twelve million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1049 1432 2098 2864 4196 5728 8392 8461 11456 16784 16922 22912 33568 33844 67136 67688 134272 135376 187771 270752 375542 541504 751084 1083008 1100401 1502168 1514519 2200802 3004336 3029038 4401604 6008672 6058076 8803208 8875589 12017344 12116152 17606416 17751178 24034688 24232304 35212832 35502356 48464608 70425664 71004712 96929216 140851328 142009424 193858432 196971779 284018848 393943558 568037696 787887116 1136075392 1575774232 1588730431 3151548464 3177460862 6303096928 6354921724 9310492861 12606193856 12709843448 18620985722 25212387712 25419686896 37241971444 50839373792 74483942888 101678747584 148967885776 203357495168 297935771552 595871543104 1191743086208 1666578222119 3333156444238 6666312888476 13332625776952 26665251553904 53330503107808 106661006215616 213322012431232