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1311050188 = 22753279211
BaseRepresentation
bin100111000100101…
…0000100111001100
310101100222020202101
41032021100213030
510141112101223
6334032204444
744326512520
oct11611204714
93340866671
101311050188
11613065458
12307099724
1317b806856
14c6199d80
157a1744ad
hex4e2509cc

1311050188 has 72 divisors (see below), whose sum is σ = 2719162880. Its totient is φ = 541719360.

The previous prime is 1311050173. The next prime is 1311050219. The reversal of 1311050188 is 8810501131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6213403 + ... + 6213613.

Almost surely, 21311050188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311050188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359581440).

1311050188 is an abundant number, since it is smaller than the sum of its proper divisors (1408112692).

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

1311050188 is a wasteful number, since it uses less digits than its factorization.

1311050188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 28.

The square root of 1311050188 is about 36208.4270301818. The cubic root of 1311050188 is about 1094.4764948922.

The spelling of 1311050188 in words is "one billion, three hundred eleven million, fifty thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 53 79 106 158 211 212 316 371 422 553 742 844 1106 1477 1484 2212 2809 2954 4187 5618 5908 8374 11183 11236 16669 16748 19663 22366 29309 33338 39326 44732 58618 66676 78281 78652 116683 117236 156562 221911 233366 313124 443822 466732 592699 883457 887644 1185398 1553377 1766914 2370796 3106754 3533828 4148893 6184199 6213508 8297786 12368398 16595572 24736796 46823221 93646442 187292884 327762547 655525094 1311050188