Search a number
-
+
201330132303330 = 23451631524881711
BaseRepresentation
bin101101110001101111010011…
…000001001011110111100010
3222101211222021002020010020000
4231301233103001023313202
5202342043102332201310
61552105441433000430
760256423235331102
oct5561572301136742
9871758232203200
10201330132303330
11591716a2023a68
121a6b7165b53116
138845471c923b4
1437a0605017202
1518420d35244c0
hexb71bd304bde2

201330132303330 has 80 divisors (see below), whose sum is σ = 544675548472704. Its totient is φ = 53358660796320.

The previous prime is 201330132303299. The next prime is 201330132303343. The reversal of 201330132303330 is 33303231033102.

201330132303330 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 3 + 0 + 1 + 323 + 0 + 3 + 330 = 666.

It is a super-2 number, since 2×2013301323033302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201330132303294 and 201330132303303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 762308826 + ... + 762572885.

Almost surely, 2201330132303330 is an apocalyptic number.

201330132303330 is an abundant number, since it is smaller than the sum of its proper divisors (343345416169374).

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

201330132303330 is a wasteful number, since it uses less digits than its factorization.

201330132303330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524881893 (or 1524881884 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 201330132303330 its reverse (33303231033102), we get a palindrome (234633363336432).

The spelling of 201330132303330 in words is "two hundred one trillion, three hundred thirty billion, one hundred thirty-two million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 270 326 405 489 810 815 978 1467 1630 2445 2934 4401 4890 7335 8802 13203 14670 22005 26406 44010 66015 132030 1524881711 3049763422 4574645133 7624408555 9149290266 13723935399 15248817110 22873225665 27447870798 41171806197 45746451330 68619676995 82343612394 123515418591 137239353990 205859030985 247030837182 248555718893 411718061970 497111437786 617577092955 745667156679 1235154185910 1242778594465 1491334313358 2237001470037 2485557188930 3728335783395 4474002940074 6711004410111 7456671566790 11185007350185 13422008820222 20133013230333 22370014700370 33555022050555 40266026460666 67110044101110 100665066151665 201330132303330