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271313313172 = 221129339115381
BaseRepresentation
bin1111110010101110001…
…0001001110110010100
3221221022021212100100121
43330223202021312110
513421122202010142
6324350053521324
725413253053016
oct3745342116624
9857267770317
10271313313172
11a5077323960
12446ba343244
131c77a8833c5
14d1bb2c21b6
1570ce004c67
hex3f2b889d94

271313313172 has 48 divisors (see below), whose sum is σ = 519959067264. Its totient is φ = 122849072000.

The previous prime is 271313313151. The next prime is 271313313179.

271313313172 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2713133131722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271313313179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50417922 + ... + 50423302.

It is an arithmetic number, because the mean of its divisors is an integer number (10832480568).

Almost surely, 2271313313172 is an apocalyptic number.

271313313172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

271313313172 is a deficient number, since it is larger than the sum of its proper divisors (248645754092).

271313313172 is a wasteful number, since it uses less digits than its factorization.

271313313172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9600 (or 9598 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

It can be divided in two parts, 271313 and 313172, that added together give a palindrome (584485).

The spelling of 271313313172 in words is "two hundred seventy-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred seventy-two".

Divisors: 1 2 4 11 22 44 293 586 1172 3223 3911 5381 6446 7822 10762 12892 15644 21524 43021 59191 86042 118382 172084 236764 1145923 1576633 2291846 3153266 4583692 6306532 12605153 17342963 21045091 25210306 34685926 42090182 50420612 69371852 84180364 231496001 462992002 925984004 6166211663 12332423326 24664846652 67828328293 135656656586 271313313172