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1331396055 = 3351117232293
BaseRepresentation
bin100111101011011…
…0111110111010111
310102210020221001000
41033112313313113
510211314133210
6340040234343
744664452103
oct11726676727
93383227030
101331396055
116235a1620
12311a6b9b3
13182aab522
14c8b74903
157bd42ac0
hex4f5b7dd7

1331396055 has 128 divisors (see below), whose sum is σ = 2854103040. Its totient is φ = 580884480.

The previous prime is 1331396051. The next prime is 1331396107. The reversal of 1331396055 is 5506931331.

1331396055 is a `hidden beast` number, since 1 + 33 + 13 + 9 + 605 + 5 = 666.

It is not a de Polignac number, because 1331396055 - 22 = 1331396051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331396051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579489 + ... + 581781.

It is an arithmetic number, because the mean of its divisors is an integer number (22297680).

Almost surely, 21331396055 is an apocalyptic number.

1331396055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1331396055 is an abundant number, since it is smaller than the sum of its proper divisors (1522706985).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331396055 is a wasteful number, since it uses less digits than its factorization.

1331396055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 1331396055 is about 36488.3002481617. The cubic root of 1331396055 is about 1100.1090952405.

It can be divided in two parts, 1331 and 396055, that added together give a triangular number (397386 = T891).

The spelling of 1331396055 in words is "one billion, three hundred thirty-one million, three hundred ninety-six thousand, fifty-five".

Divisors: 1 3 5 9 11 15 17 23 27 33 45 51 55 69 85 99 115 135 153 165 187 207 253 255 297 345 391 459 495 561 621 759 765 935 1035 1173 1265 1485 1683 1955 2277 2293 2295 2805 3105 3519 3795 4301 5049 5865 6831 6879 8415 10557 11385 11465 12903 17595 20637 21505 25223 25245 34155 34395 38709 38981 52739 52785 61911 64515 75669 103185 116127 116943 126115 158217 193545 194905 227007 263695 309555 350829 378345 428791 474651 580129 580635 584715 681021 791085 896563 1052487 1135035 1286373 1423953 1740387 1754145 2143955 2373255 2689689 2900645 3405105 3859119 4482815 5221161 5262435 6431865 7119765 8069067 8701935 9862193 11577357 13448445 15663483 19295595 24207201 26105805 29586579 40345335 49310965 57886785 78317415 88759737 121036005 147932895 266279211 443798685 1331396055