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131434223201535 = 35232711405788793
BaseRepresentation
bin11101111000100111101010…
…001011110110110011111111
3122020100222200222222212000110
4131320213222023312303333
5114211404242114422120
61143312014254401103
736453544401603342
oct3570475213666377
9566328628885013
10131434223201535
1138973a39572351
12128a89bb500193
13584526a494567
142465643a68459
15102dd8be962e0
hex7789ea2f6cff

131434223201535 has 32 divisors (see below), whose sum is σ = 220247741933568. Its totient is φ = 66803083395840.

The previous prime is 131434223201471. The next prime is 131434223201537. The reversal of 131434223201535 is 535102322434131.

It is a happy number.

It is not a de Polignac number, because 131434223201535 - 26 = 131434223201471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131434223201493 and 131434223201502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434223201537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702800902 + ... + 702987891.

It is an arithmetic number, because the mean of its divisors is an integer number (6882741935424).

Almost surely, 2131434223201535 is an apocalyptic number.

131434223201535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131434223201535 is a deficient number, since it is larger than the sum of its proper divisors (88813518732033).

131434223201535 is a wasteful number, since it uses less digits than its factorization.

131434223201535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405789095.

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 131434223201535 its reverse (535102322434131), we get a palindrome (666536545635666).

The spelling of 131434223201535 in words is "one hundred thirty-one trillion, four hundred thirty-four billion, two hundred twenty-three million, two hundred one thousand, five hundred thirty-five".

Divisors: 1 3 5 15 23 69 115 271 345 813 1355 4065 6233 18699 31165 93495 1405788793 4217366379 7028943965 21086831895 32333142239 96999426717 161665711195 380968762903 484997133585 1142906288709 1904843814515 5714531443545 8762281546769 26286844640307 43811407733845 131434223201535