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33011114130 = 2325536920569
BaseRepresentation
bin11110101111100111…
…011010000010010010
310011012121020100102200
4132233213122002102
51020101321123010
623055354424030
72246021561151
oct365747320222
9104177210380
1033011114130
1112aaaa05705
126493432016
13316116b337
141852305598
15cd3165cc0
hex7af9da092

33011114130 has 48 divisors (see below), whose sum is σ = 87448322520. Its totient is φ = 8636868864.

The previous prime is 33011114117. The next prime is 33011114141. The reversal of 33011114130 is 3141111033.

It can be written as a sum of positive squares in 4 ways, for example, as 32938983081 + 72131049 = 181491^2 + 8493^2 .

It is a super-2 number, since 2×330111141302 (a number of 22 digits) contains 22 as substring.

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

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, 3455515 + ... + 3465054.

Almost surely, 233011114130 is an apocalyptic number.

33011114130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33011114130 is an abundant number, since it is smaller than the sum of its proper divisors (54437208390).

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

33011114130 is a wasteful number, since it uses less digits than its factorization.

33011114130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920635 (or 6920632 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 33011114130 its reverse (3141111033), we get a palindrome (36152225163).

The spelling of 33011114130 in words is "thirty-three billion, eleven million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 6920569 13841138 20761707 34602845 41523414 62285121 69205690 103808535 124570242 207617070 311425605 366790157 622851210 733580314 1100370471 1833950785 2200740942 3301111413 3667901570 5501852355 6602222826 11003704710 16505557065 33011114130