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1316228452900 = 225247224412
BaseRepresentation
bin10011001001110101010…
…101000101001000100100
311122211102020001021111021
4103021311111011020210
5133031113440443100
62444400023420524
7164044240152214
oct23116525051044
94584366037437
101316228452900
11468233714039
121931162b4744
13971732ba6aa
14479c49c8244
15243889e5a1a
hex13275545224

1316228452900 has 81 divisors (see below), whose sum is σ = 2919475296787. Its totient is φ = 515078339200.

The previous prime is 1316228452843. The next prime is 1316228452939. The reversal of 1316228452900 is 92548226131.

The square root of 1316228452900 is 1147270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 433335191524 + 882893261376 = 658282^2 + 939624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 539215680 + ... + 539218120.

Almost surely, 21316228452900 is an apocalyptic number.

1316228452900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1316228452900 is the 1147270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316228452900

1316228452900 is an abundant number, since it is smaller than the sum of its proper divisors (1603246843887).

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

1316228452900 is an frugal number, since it uses more digits than its factorization.

1316228452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 1316228452900 in words is "one trillion, three hundred sixteen billion, two hundred twenty-eight million, four hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2209 2350 2441 4418 4700 4882 8836 9764 11045 12205 22090 24410 44180 48820 55225 61025 110450 114727 122050 220900 229454 244100 458908 573635 1147270 2294540 2868175 5392169 5736350 5958481 10784338 11472700 11916962 21568676 23833924 26960845 29792405 53921690 59584810 107843380 119169620 134804225 148962025 269608450 280048607 297924050 539216900 560097214 595848100 1120194428 1400243035 2800486070 5600972140 7001215175 13162284529 14002430350 26324569058 28004860700 52649138116 65811422645 131622845290 263245690580 329057113225 658114226450 1316228452900