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1211100132 = 2231123722543
BaseRepresentation
bin100100000101111…
…1110101111100100
310010101220021001110
41020023332233210
54440020201012
6320102025020
742004116114
oct11013765744
93111807043
101211100132
115716a8500
12299718170
13163bac9c8
14b6bbd044
15714ce73c
hex482febe4

1211100132 has 72 divisors (see below), whose sum is σ = 3190246528. Its totient is φ = 357065280.

The previous prime is 1211100131. The next prime is 1211100133. The reversal of 1211100132 is 2310011121.

It is an interprime number because it is at equal distance from previous prime (1211100131) and next prime (1211100133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211100131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42453 + ... + 64995.

Almost surely, 21211100132 is an apocalyptic number.

1211100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595123264).

1211100132 is an abundant number, since it is smaller than the sum of its proper divisors (1979146396).

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

1211100132 is a wasteful number, since it uses less digits than its factorization.

1211100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22609 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1211100132 is about 34800.8639547928. The cubic root of 1211100132 is about 1065.9250874590.

Adding to 1211100132 its reverse (2310011121), we get a palindrome (3521111253).

The spelling of 1211100132 in words is "one billion, two hundred eleven million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8954 13431 17908 22543 26862 45086 53724 67629 90172 135258 247973 270516 495946 743919 834091 991892 1487838 1668182 2502273 2727703 2975676 3336364 5004546 5455406 8183109 9175001 10009092 10910812 16366218 18350002 27525003 32732436 36700004 55050006 100925011 110100012 201850022 302775033 403700044 605550066 1211100132