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134215512431 = 7113131765183
BaseRepresentation
bin111110011111111011…
…1100011000101101111
3110211102201011110112212
41330333313203011233
54144333132344211
6141354024121035
712460662014030
oct1747767430557
9424381143485
10134215512431
1151a14181000
122201860617b
13c86c3521a0
1466d32bca87
153757ea938b
hex1f3fde316f

134215512431 has 64 divisors (see below), whose sum is σ = 192385622016. Its totient is φ = 90858493440.

The previous prime is 134215512421. The next prime is 134215512433.

134215512431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134215512431 - 218 = 134215250287 is a prime.

It is a super-2 number, since 2×1342155124312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134215512433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2026466 + ... + 2091648.

It is an arithmetic number, because the mean of its divisors is an integer number (3006025344).

Almost surely, 2134215512431 is an apocalyptic number.

134215512431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134215512431 is a deficient number, since it is larger than the sum of its proper divisors (58170109585).

134215512431 is a wasteful number, since it uses less digits than its factorization.

134215512431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65253 (or 65231 counting only the distinct ones).

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

It can be divided in two parts, 134215 and 512431, that added together give a palindrome (646646).

The spelling of 134215512431 in words is "one hundred thirty-four billion, two hundred fifteen million, five hundred twelve thousand, four hundred thirty-one".

Divisors: 1 7 11 13 17 77 91 119 121 143 187 221 847 1001 1309 1331 1547 1573 2057 2431 9317 11011 14399 17017 17303 22627 26741 65183 121121 158389 187187 294151 456281 717013 847379 1108111 2059057 5019091 5931653 7756777 7887143 9321169 12189221 14405443 55210001 65248183 85324547 86758573 100838101 102532859 134081431 158459873 607310011 717730013 938570017 1109219111 1127861449 1474895741 1743058603 7895030143 10324270187 12201410221 19173644633 134215512431