Search a number
-
+
33133103130 = 2351104436771
BaseRepresentation
bin11110110110111000…
…110000100000011010
310011112002210000212210
4132312320300200122
51020324033300010
623115433215550
72252032505211
oct366670604032
9104462700783
1033133103130
1113062855866
1265082615b6
13318051068a
1418645bc078
15cddc10b20
hex7b6e3081a

33133103130 has 16 divisors (see below), whose sum is σ = 79519447584. Its totient is φ = 8835494160.

The previous prime is 33133103063. The next prime is 33133103131. The reversal of 33133103130 is 3130133133.

It is a junction number, because it is equal to n+sod(n) for n = 33133103097 and 33133103106.

It is not an unprimeable number, because it can be changed into a prime (33133103131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552218356 + ... + 552218415.

It is an arithmetic number, because the mean of its divisors is an integer number (4969965474).

Almost surely, 233133103130 is an apocalyptic number.

33133103130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33133103130 is an abundant number, since it is smaller than the sum of its proper divisors (46386344454).

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

33133103130 is a wasteful number, since it uses less digits than its factorization.

33133103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104436781.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 33133103130 its reverse (3130133133), we get a palindrome (36263236263).

The spelling of 33133103130 in words is "thirty-three billion, one hundred thirty-three million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1104436771 2208873542 3313310313 5522183855 6626620626 11044367710 16566551565 33133103130