Search a number
-
+
33100230132 = 22325317348129
BaseRepresentation
bin11110110100111011…
…010110110111110100
310011102210220220121100
4132310323112313310
51020242124331012
623112300450100
72251153212444
oct366473266764
9104383826540
1033100230132
11130462428a2
1264b9249930
133176770ab8
1418600a2124
15cdadba8dc
hex7b4ed6df4

33100230132 has 36 divisors (see below), whose sum is σ = 85248710820. Its totient is φ = 10825231872.

The previous prime is 33100230127. The next prime is 33100230187. The reversal of 33100230132 is 23103200133.

33100230132 is a `hidden beast` number, since 331 + 0 + 0 + 2 + 301 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10661388516 + 22438841616 = 103254^2 + 149796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8672157 + ... + 8675972.

It is an arithmetic number, because the mean of its divisors is an integer number (2368019745).

Almost surely, 233100230132 is an apocalyptic number.

It is an amenable number.

33100230132 is an abundant number, since it is smaller than the sum of its proper divisors (52148480688).

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

33100230132 is a wasteful number, since it uses less digits than its factorization.

33100230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348192 (or 17348187 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 33100230132 its reverse (23103200133), we get a palindrome (56203430265).

The spelling of 33100230132 in words is "thirty-three billion, one hundred million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 17348129 34696258 52044387 69392516 104088774 156133161 208177548 312266322 624532644 919450837 1838901674 2758352511 3677803348 5516705022 8275057533 11033410044 16550115066 33100230132