Search a number
-
+
133222021203132 = 223229461276805423
BaseRepresentation
bin11110010010101000101011…
…010000000000010010111100
3122110200220022201100021102100
4132102220223100000102330
5114430202144412000012
61151201203542225100
740026654610101141
oct3622505320002274
9573626281307370
10133222021203132
11394a3161972a34
1212b373a1425190
135944a2376b164
1424c7da1a763c8
15106062567c8dc
hex792a2b4004bc

133222021203132 has 72 divisors (see below), whose sum is σ = 349123609074240. Its totient is φ = 42783046024320.

The previous prime is 133222021203121. The next prime is 133222021203211. The reversal of 133222021203132 is 231302120222331.

133222021203132 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 220 + 2 + 120 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133222021203096 and 133222021203105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137921428 + ... + 138883995.

It is an arithmetic number, because the mean of its divisors is an integer number (4848939014920).

Almost surely, 2133222021203132 is an apocalyptic number.

133222021203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133222021203132 is an abundant number, since it is smaller than the sum of its proper divisors (215901587871108).

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

133222021203132 is a wasteful number, since it uses less digits than its factorization.

133222021203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276805923 (or 276805918 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133222021203132 its reverse (231302120222331), we get a palindrome (364524141425463).

The spelling of 133222021203132 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, twenty-one million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 461 522 922 1044 1383 1844 2766 4149 5532 8298 13369 16596 26738 40107 53476 80214 120321 160428 240642 481284 276805423 553610846 830416269 1107221692 1660832538 2491248807 3321665076 4982497614 8027357267 9964995228 16054714534 24082071801 32109429068 48164143602 72246215403 96328287204 127607300003 144492430806 255214600006 288984861612 382821900009 510429200012 765643800018 1148465700027 1531287600036 2296931400054 3700611700087 4593862800108 7401223400174 11101835100261 14802446800348 22203670200522 33305505300783 44407340401044 66611010601566 133222021203132