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991100313 = 3372977723
BaseRepresentation
bin111011000100101…
…111110110011001
32120001221010001000
4323010233312121
54012210202223
6242202415213
733363133200
oct7304576631
92501833030
10991100313
114694a5375
12237b01509
1312a4423b8
14958b2237
155c024543
hex3b12fd99

991100313 has 48 divisors (see below), whose sum is σ = 1725850560. Its totient is φ = 560431872.

The previous prime is 991100311. The next prime is 991100329. The reversal of 991100313 is 313001199.

It is not a de Polignac number, because 991100313 - 21 = 991100311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (991100311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124470 + ... + 132192.

It is an arithmetic number, because the mean of its divisors is an integer number (35955220).

Almost surely, 2991100313 is an apocalyptic number.

It is an amenable number.

991100313 is a deficient number, since it is larger than the sum of its proper divisors (734750247).

991100313 is a wasteful number, since it uses less digits than its factorization.

991100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 991100313 is about 31481.7457108084. The cubic root of 991100313 is about 997.0245934027.

The spelling of 991100313 in words is "nine hundred ninety-one million, one hundred thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 97 147 189 291 441 679 873 1323 2037 2619 4753 6111 7723 14259 18333 23169 42777 54061 69507 128331 162183 208521 378427 486549 749131 1135281 1459647 2247393 3405843 5243917 6742179 10217529 15731751 20226537 36707419 47195253 110122257 141585759 330366771 991100313