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2135044431 = 321323145281
BaseRepresentation
bin111111101000010…
…0011000101001111
312111210110111100200
41333100203011033
513333032410211
6551505224543
7103623402222
oct17720430517
95453414320
102135044431
119a61a4533
124b7032153
1328043ac00
141637ad5b9
15c768ab56
hex7f42314f

2135044431 has 36 divisors (see below), whose sum is σ = 3447228096. Its totient is φ = 1271462400.

The previous prime is 2135044349. The next prime is 2135044477. The reversal of 2135044431 is 1344405312.

It is a happy number.

2135044431 is a `hidden beast` number, since 213 + 5 + 0 + 4 + 443 + 1 = 666.

It is not a de Polignac number, because 2135044431 - 215 = 2135011663 is a prime.

It is a super-2 number, since 2×21350444312 = 9116829444688227522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2135044395 and 2135044404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135044531) 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 35 ways as a sum of consecutive naturals, for example, 24511 + ... + 69791.

It is an arithmetic number, because the mean of its divisors is an integer number (95756336).

Almost surely, 22135044431 is an apocalyptic number.

2135044431 is a deficient number, since it is larger than the sum of its proper divisors (1312183665).

2135044431 is a wasteful number, since it uses less digits than its factorization.

2135044431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45344 (or 45328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2135044431 is about 46206.5409980016. The cubic root of 2135044431 is about 1287.6632638784.

Adding to 2135044431 its reverse (1344405312), we get a palindrome (3479449743).

The spelling of 2135044431 in words is "two billion, one hundred thirty-five million, forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 31 39 93 117 169 279 403 507 1209 1521 3627 5239 15717 45281 47151 135843 407529 588653 1403711 1765959 4211133 5297877 7652489 12633399 18248243 22957467 54744729 68872401 164234187 237227159 711681477 2135044431