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1331252531205 = 351923727279353
BaseRepresentation
bin10011010111110100110…
…101011001000000000101
311201021012021111112101220
4103113310311121000011
5133302401121444310
62455322521510553
7165115451544612
oct23276465310005
94637167445356
101331252531205
11473643391483
12196009942459
13986c8b1725c
144860c0b9509
15249679b4670
hex135f4d59005

1331252531205 has 64 divisors (see below), whose sum is σ = 2342819082240. Its totient is φ = 642500660736.

The previous prime is 1331252531173. The next prime is 1331252531351. The reversal of 1331252531205 is 5021352521331.

It is not a de Polignac number, because 1331252531205 - 25 = 1331252531173 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4625809 + ... + 4905161.

It is an arithmetic number, because the mean of its divisors is an integer number (36606548160).

Almost surely, 21331252531205 is an apocalyptic number.

1331252531205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1331252531205 is a deficient number, since it is larger than the sum of its proper divisors (1011566551035).

1331252531205 is a wasteful number, since it uses less digits than its factorization.

1331252531205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280130.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 1331252531205 in words is "one trillion, three hundred thirty-one billion, two hundred fifty-two million, five hundred thirty-one thousand, two hundred five".

Divisors: 1 3 5 15 19 23 57 69 95 115 285 345 437 727 1311 2181 2185 3635 6555 10905 13813 16721 41439 50163 69065 83605 207195 250815 279353 317699 838059 953097 1396765 1588495 4190295 4765485 5307707 6425119 15923121 19275357 26538535 32125595 79615605 96376785 122077261 203089631 366231783 609268893 610386305 1015448155 1831158915 3046344465 3858702989 4671061513 11576108967 14013184539 19293514945 23355307565 57880544835 70065922695 88750168747 266250506241 443750843735 1331252531205