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71327111210431 = 1772718661309269
BaseRepresentation
bin10000001101111100100011…
…001000000110010110111111
3100100112210202000111102002121
4100031330203020012112333
533322110410432213211
6411411120022303411
721011133210553306
oct2015744310062677
9310483660442077
1071327111210431
11207aa726869a4a
127bbb809287b67
1330a516b84bc9b
14138837192143d
1583a5adb1c271
hex40df232065bf

71327111210431 has 16 divisors (see below), whose sum is σ = 75631003680960. Its totient is φ = 67035249262080.

The previous prime is 71327111210393. The next prime is 71327111210441. The reversal of 71327111210431 is 13401211172317.

It is a cyclic number.

It is not a de Polignac number, because 71327111210431 - 211 = 71327111208383 is a prime.

It is a super-2 number, since 2×713271112104312 (a number of 29 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 (71327111210441) 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, 230476665 + ... + 230785933.

It is an arithmetic number, because the mean of its divisors is an integer number (4726937730060).

Almost surely, 271327111210431 is an apocalyptic number.

71327111210431 is a deficient number, since it is larger than the sum of its proper divisors (4303892470529).

71327111210431 is a wasteful number, since it uses less digits than its factorization.

71327111210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328674.

The product of its (nonzero) digits is 7056, while the sum is 34.

Adding to 71327111210431 its reverse (13401211172317), we get a palindrome (84728322382748).

The spelling of 71327111210431 in words is "seventy-one trillion, three hundred twenty-seven billion, one hundred eleven million, two hundred ten thousand, four hundred thirty-one".

Divisors: 1 17 727 12359 18661 309269 317237 5257573 13566547 224838563 230631299 3822255571 5771268809 98111569753 4195712424143 71327111210431