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1313222223131 = 71322364774597
BaseRepresentation
bin10011000111000010001…
…001001110010100011011
311122112122201021222111222
4103013002021032110123
5133003434342120011
62443141433442255
7163606604502020
oct23070211162433
94575581258458
101313222223131
11466a30789125
1219261757038b
1396ab4534700
14477bb63d547
152425eb20ddb
hex131c224e51b

1313222223131 has 48 divisors (see below), whose sum is σ = 1698456812544. Its totient is φ = 992308217472.

The previous prime is 1313222223121. The next prime is 1313222223227.

1313222223131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1313222223131 - 218 = 1313221960987 is a prime.

It is a super-2 number, since 2×13132222231312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313222223131.

It is not an unprimeable number, because it can be changed into a prime (1313222223101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17566925 + ... + 17641521.

It is an arithmetic number, because the mean of its divisors is an integer number (35384516928).

Almost surely, 21313222223131 is an apocalyptic number.

1313222223131 is a deficient number, since it is larger than the sum of its proper divisors (385234589413).

1313222223131 is a wasteful number, since it uses less digits than its factorization.

1313222223131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75300 (or 75287 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The spelling of 1313222223131 in words is "one trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 23 91 161 169 299 647 1183 2093 3887 4529 8411 14881 27209 58877 74597 104167 109343 193453 522179 765401 969761 1354171 1715731 2514889 6788327 12010117 12606893 17604223 22304503 48264259 88248251 156131521 289958539 337849813 627435367 1110077957 2029709773 4392047569 7770545699 8156659771 14431013441 57096618397 101017094087 187603174733 1313222223131