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2135540031 = 31231578267
BaseRepresentation
bin111111101001001…
…1100000100111111
312111211101200012020
41333102130010333
513333144240111
6551524011223
7103630535142
oct17722340477
95454350166
102135540031
119a6502919
124b7230b13
13280582671
1416389c059
15c7737906
hex7f49c13f

2135540031 has 8 divisors (see below), whose sum is σ = 2849704704. Its totient is φ = 1422534360.

The previous prime is 2135540027. The next prime is 2135540047. The reversal of 2135540031 is 1300455312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2135540031 - 22 = 2135540027 is a prime.

It is a super-2 number, since 2×21355400312 = 9121062448006961922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2135539983 and 2135540010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135540021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 285441 + ... + 292826.

It is an arithmetic number, because the mean of its divisors is an integer number (356213088).

Almost surely, 22135540031 is an apocalyptic number.

2135540031 is a deficient number, since it is larger than the sum of its proper divisors (714164673).

2135540031 is a wasteful number, since it uses less digits than its factorization.

2135540031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579501.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2135540031 is about 46211.9035639087. The cubic root of 2135540031 is about 1287.7628896805.

Adding to 2135540031 its reverse (1300455312), we get a palindrome (3435995343).

The spelling of 2135540031 in words is "two billion, one hundred thirty-five million, five hundred forty thousand, thirty-one".

Divisors: 1 3 1231 3693 578267 1734801 711846677 2135540031