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1311323031221 = 74328318738219
BaseRepresentation
bin10011000101010000111…
…100011000011010110101
311122100202100122000222212
4103011100330120122311
5132441042143444341
62442225151303205
7163511543566250
oct23052074303265
94570670560885
101311323031221
11466146735135
1219218751ab05
1396870c24908
144767b306097
152419d0225eb
hex13150f186b5

1311323031221 has 32 divisors (see below), whose sum is σ = 1539935063040. Its totient is φ = 1093255398144.

The previous prime is 1311323031149. The next prime is 1311323031241. The reversal of 1311323031221 is 1221303231131.

It is not a de Polignac number, because 1311323031221 - 222 = 1311318836917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311323031241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159543650 + ... + 159551868.

It is an arithmetic number, because the mean of its divisors is an integer number (48122970720).

Almost surely, 21311323031221 is an apocalyptic number.

It is an amenable number.

1311323031221 is a deficient number, since it is larger than the sum of its proper divisors (228612031819).

1311323031221 is a wasteful number, since it uses less digits than its factorization.

1311323031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1311323031221 its reverse (1221303231131), we get a palindrome (2532626262352).

The spelling of 1311323031221 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 7 43 283 301 1873 1981 8219 12169 13111 57533 80539 85183 353417 530059 563773 2325977 2473919 3710413 15394187 16281839 22792537 100017011 107759309 159547759 661950041 700119077 4356554921 4633650287 30495884447 187331861603 1311323031221