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1211211092 = 2271331310631
BaseRepresentation
bin100100000110001…
…1001110101010100
310010102002220021002
41020030121311110
54440032223332
6320104242432
742005060450
oct11014316524
93112086232
101211211092
11571773903
12299770418
13163c1b370
14b6c0b660
1571502562
hex48319d54

1211211092 has 48 divisors (see below), whose sum is σ = 2617343232. Its totient is φ = 477584640.

The previous prime is 1211211077. The next prime is 1211211203. The reversal of 1211211092 is 2901121121.

It is a super-4 number, since 4×12112110924 (a number of 37 digits) contains 4444 as substring.

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 15 ways as a sum of consecutive naturals, for example, 108617 + ... + 119247.

It is an arithmetic number, because the mean of its divisors is an integer number (54527984).

Almost surely, 21211211092 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 1211211092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308671616).

1211211092 is an abundant number, since it is smaller than the sum of its proper divisors (1406132140).

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

1211211092 is a wasteful number, since it uses less digits than its factorization.

1211211092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1211211092 is about 34802.4581315746. The cubic root of 1211211092 is about 1065.9576395254.

The spelling of 1211211092 in words is "one billion, two hundred eleven million, two hundred eleven thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 313 364 626 1252 2191 4069 4382 8138 8764 10631 16276 21262 28483 42524 56966 74417 113932 138203 148834 276406 297668 552812 967421 1934842 3327503 3869684 6655006 13310012 23292521 43257539 46585042 86515078 93170084 173030156 302802773 605605546 1211211092