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153312434431 = 1331212271867
BaseRepresentation
bin1000111011001000100…
…0100001100011111111
3112122201121101121200021
42032302020201203333
510002440440400211
6154233013313011
714035140122332
oct2166210414377
9478647347607
10153312434431
115a023966172
1225868035767
13115c38c6430
1475c5686619
153ec47db771
hex23b22218ff

153312434431 has 12 divisors (see below), whose sum is σ = 170603508936. Its totient is φ = 136954024560.

The previous prime is 153312434423. The next prime is 153312434491. The reversal of 153312434431 is 134434213351.

153312434431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153312434431 - 23 = 153312434423 is a prime.

It is a super-2 number, since 2×1533124344312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153312434491) 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 11 ways as a sum of consecutive naturals, for example, 6123441 + ... + 6148426.

It is an arithmetic number, because the mean of its divisors is an integer number (14216959078).

Almost surely, 2153312434431 is an apocalyptic number.

153312434431 is a deficient number, since it is larger than the sum of its proper divisors (17291074505).

153312434431 is a wasteful number, since it uses less digits than its factorization.

153312434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271942 (or 12271911 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

Adding to 153312434431 its reverse (134434213351), we get a palindrome (287746647782).

The spelling of 153312434431 in words is "one hundred fifty-three billion, three hundred twelve million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 13 31 403 961 12493 12271867 159534271 380427877 4945562401 11793264187 153312434431