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171135016431 = 3314144881987
BaseRepresentation
bin1001111101100001110…
…0010001110111101111
3121100201200201120221220
42133120130101313233
510300441031011211
6210341321154423
715235612431651
oct2373034216757
9540650646856
10171135016431
116663a289885
122920092ba13
13131a4148142
1483d66cc6d1
1546b92eb806
hex27d8711def

171135016431 has 16 divisors (see below), whose sum is σ = 241285567488. Its totient is φ = 107716766400.

The previous prime is 171135016397. The next prime is 171135016471. The reversal of 171135016431 is 134610531171.

It is not a de Polignac number, because 171135016431 - 223 = 171126627823 is a prime.

It is a super-2 number, since 2×1711350164312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 171135016392 and 171135016401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171135016471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22437181 + ... + 22444806.

It is an arithmetic number, because the mean of its divisors is an integer number (15080347968).

Almost surely, 2171135016431 is an apocalyptic number.

171135016431 is a deficient number, since it is larger than the sum of its proper divisors (70150551057).

171135016431 is a wasteful number, since it uses less digits than its factorization.

171135016431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44882062.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 171135016431 in words is "one hundred seventy-one billion, one hundred thirty-five million, sixteen thousand, four hundred thirty-one".

Divisors: 1 3 31 41 93 123 1271 3813 44881987 134645961 1391341597 1840161467 4174024791 5520484401 57045005477 171135016431