Search a number
-
+
133033312032012 = 223272131247728751
BaseRepresentation
bin11110001111111000111011…
…010011101001010100001100
3122110000212020020202010101100
4132033320323103221110030
5114414104210340011022
61150534354305543100
740010224326441450
oct3617707323512414
9573025206663340
10133033312032012
113943012451a677
1212b068b7044a90
13592ccab6b2c22
1424bcbbd32c660
15105a77d5941ac
hex78fe3b4e950c

133033312032012 has 72 divisors (see below), whose sum is σ = 384498805064192. Its totient is φ = 37991681100000.

The previous prime is 133033312031959. The next prime is 133033312032041. The reversal of 133033312032012 is 210230213330331.

133033312032012 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 331 + 2 + 0 + 320 + 1 + 2 = 666.

It is a super-2 number, since 2×1330333120320122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123327364 + ... + 124401387.

Almost surely, 2133033312032012 is an apocalyptic number.

133033312032012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133033312032012 is an abundant number, since it is smaller than the sum of its proper divisors (251465493032180).

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

133033312032012 is a wasteful number, since it uses less digits than its factorization.

133033312032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247730899 (or 247730894 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133033312032012 its reverse (210230213330331), we get a palindrome (343263525362343).

The spelling of 133033312032012 in words is "one hundred thirty-three trillion, thirty-three billion, three hundred twelve million, thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2131 4262 6393 8524 12786 14917 19179 25572 29834 38358 44751 59668 76716 89502 134253 179004 268506 537012 247728751 495457502 743186253 990915004 1486372506 1734101257 2229558759 2972745012 3468202514 4459117518 5202303771 6936405028 8918235036 10404607542 15606911313 20809215084 31213822626 62427645252 527909968381 1055819936762 1583729905143 2111639873524 3167459810286 3695369778667 4751189715429 6334919620572 7390739557334 9502379430858 11086109336001 14781479114668 19004758861716 22172218672002 33258328008003 44344437344004 66516656016006 133033312032012