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153412214351 = 11173172587969
BaseRepresentation
bin1000111011100000010…
…1001001111001001111
3112122222120010221222212
42032320011021321033
510003142011324401
6154250540101035
714040461210024
oct2167005117117
9478876127885
10153412214351
115a075217310
122589553477b
131160b4909c6
1475d4a1b54b
153ecd44adbb
hex23b8149e4f

153412214351 has 16 divisors (see below), whose sum is σ = 177762483360. Its totient is φ = 130847662080.

The previous prime is 153412214341. The next prime is 153412214363.

153412214351 is nontrivially palindromic in base 10.

153412214351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153412214351 - 218 = 153411952207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153412214341) 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 15 ways as a sum of consecutive naturals, for example, 1234706 + ... + 1353263.

It is an arithmetic number, because the mean of its divisors is an integer number (11110155210).

Almost surely, 2153412214351 is an apocalyptic number.

153412214351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153412214351 is a deficient number, since it is larger than the sum of its proper divisors (24350269009).

153412214351 is a wasteful number, since it uses less digits than its factorization.

153412214351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588314.

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 153412 and 214351, that added together give a palindrome (367763).

The spelling of 153412214351 in words is "one hundred fifty-three billion, four hundred twelve million, two hundred fourteen thousand, three hundred fifty-one".

Divisors: 1 11 17 187 317 3487 5389 59279 2587969 28467659 43995473 483950203 820386173 9024247903 13946564941 153412214351