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13100233332 = 22331283712413
BaseRepresentation
bin11000011001101010…
…11011001001110100
31020210222101210202010
430030311123021310
5203312124431312
610003531244220
7642431101044
oct141465331164
936728353663
1013100233332
11561281621a
1226572a9670
13130a097774
148c3bbb724
1551a15093c
hex30cd5b274

13100233332 has 48 divisors (see below), whose sum is σ = 31566915072. Its totient is φ = 4224051840.

The previous prime is 13100233253. The next prime is 13100233339. The reversal of 13100233332 is 23333200131.

13100233332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131002333323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13100233299 and 13100233308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100233339) 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 15 ways as a sum of consecutive naturals, for example, 1049158 + ... + 1061570.

It is an arithmetic number, because the mean of its divisors is an integer number (657644064).

Almost surely, 213100233332 is an apocalyptic number.

13100233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13100233332 is an abundant number, since it is smaller than the sum of its proper divisors (18466681740).

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

13100233332 is a wasteful number, since it uses less digits than its factorization.

13100233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13100233332 its reverse (23333200131), we get a palindrome (36433433463).

The spelling of 13100233332 in words is "thirteen billion, one hundred million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 2837 5674 8511 11348 12413 17022 24826 34044 37239 49652 74478 87947 148956 175894 263841 351788 384803 527682 769606 1055364 1154409 1539212 2308818 4617636 35215681 70431362 105647043 140862724 211294086 422588172 1091686111 2183372222 3275058333 4366744444 6550116666 13100233332