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1311326553303 = 321367541730881
BaseRepresentation
bin10011000101010001001…
…001110100010011010111
311122100202121020222101100
4103011101021310103113
5132441044044201203
62442225355001143
7163511615535564
oct23052111642327
94570677228340
101311326553303
11466148720348
121921887391b3
1396871888aa0
144767b98186b
152419d4baea3
hex131512744d7

1311326553303 has 48 divisors (see below), whose sum is σ = 2070735934176. Its totient is φ = 794753372160.

The previous prime is 1311326553259. The next prime is 1311326553331. The reversal of 1311326553303 is 3033556231131.

1311326553303 is a `hidden beast` number, since 1 + 3 + 113 + 2 + 6 + 5 + 533 + 0 + 3 = 666.

It is not a de Polignac number, because 1311326553303 - 210 = 1311326552279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311326555303) 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 47 ways as a sum of consecutive naturals, for example, 42448423 + ... + 42479303.

It is an arithmetic number, because the mean of its divisors is an integer number (43140331962).

Almost surely, 21311326553303 is an apocalyptic number.

1311326553303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1311326553303 is a deficient number, since it is larger than the sum of its proper divisors (759409380873).

1311326553303 is a wasteful number, since it uses less digits than its factorization.

1311326553303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36384 (or 36381 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 1311326553303 in words is "one trillion, three hundred eleven billion, three hundred twenty-six million, five hundred fifty-three thousand, three hundred three".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 5417 7839 16251 30881 48753 70421 92643 211263 277929 362939 401453 633789 1088817 1204359 2069027 3266451 3613077 4718207 6207081 14154621 18621243 26897351 42463863 80692053 167282377 242076159 501847131 1505541393 2174670901 6524012703 11207919259 19572038109 33623757777 100871273331 145702950367 437108851101 1311326553303