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434040102133 = 112231753100937
BaseRepresentation
bin1100101000011101100…
…11100101110011110101
31112111100000000201121021
412110032303211303311
524102403231232013
6531221213421141
743233626665201
oct6241663456365
91474300021537
10434040102133
1115809135aa10
127015319a7b1
1331c11a26001
1417016dddb01
15b455069a8d
hex650ece5cf5

434040102133 has 16 divisors (see below), whose sum is σ = 475897637376. Its totient is φ = 392584515840.

The previous prime is 434040102113. The next prime is 434040102161. The reversal of 434040102133 is 331201040434.

It is a de Polignac number, because none of the positive numbers 2k-434040102133 is a prime.

It is a super-2 number, since 2×4340401021332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434040102098 and 434040102107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434040102113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4249641 + ... + 4350577.

It is an arithmetic number, because the mean of its divisors is an integer number (29743602336).

Almost surely, 2434040102133 is an apocalyptic number.

It is an amenable number.

434040102133 is a deficient number, since it is larger than the sum of its proper divisors (41857535243).

434040102133 is a wasteful number, since it uses less digits than its factorization.

434040102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102924.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 434040102133 its reverse (331201040434), we get a palindrome (765241142567).

The spelling of 434040102133 in words is "four hundred thirty-four billion, forty million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 11 223 1753 2453 19283 100937 390919 1110307 4300109 22508951 176942561 247598461 1946368171 39458191103 434040102133