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11220130131 = 3729471133469
BaseRepresentation
bin10100111001100010…
…11001100101010011
31001221221122200000020
422130301121211103
5140434323131011
65053210154523
7545021350440
oct123461314523
931857580006
1011220130131
11483851a921
122211722a43
13109a70c372
147862129c7
1545a073006
hex29cc59953

11220130131 has 64 divisors (see below), whose sum is σ = 18228326400. Its totient is φ = 6003357696.

The previous prime is 11220130091. The next prime is 11220130133. The reversal of 11220130131 is 13103102211.

It is a happy number.

11220130131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220130131 - 215 = 11220097363 is a prime.

It is a super-3 number, since 3×112201301313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11220130131.

It is not an unprimeable number, because it can be changed into a prime (11220130133) 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 63 ways as a sum of consecutive naturals, for example, 3232665 + ... + 3236133.

It is an arithmetic number, because the mean of its divisors is an integer number (284817600).

Almost surely, 211220130131 is an apocalyptic number.

11220130131 is a deficient number, since it is larger than the sum of its proper divisors (7008196269).

11220130131 is a wasteful number, since it uses less digits than its factorization.

11220130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11220130131 its reverse (13103102211), we get a palindrome (24323232342).

The spelling of 11220130131 in words is "eleven billion, two hundred twenty million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 29 47 87 113 141 203 329 339 609 791 987 1363 2373 3277 3469 4089 5311 9541 9831 10407 15933 22939 24283 28623 37177 68817 72849 100601 111531 154019 163043 301803 391997 462057 489129 704207 1078133 1141301 1175991 2112621 2743979 3234399 3423903 4728247 8231937 11367913 14184741 18423859 33097729 34103739 55271577 79575391 99293187 128967013 238726173 386901039 534291911 1602875733 3740043377 11220130131