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11220241131 = 3211757149717
BaseRepresentation
bin10100111001100011…
…10100101011101011
31001221221212022021100
422130301310223223
5140434340204011
65053212412443
7545022322161
oct123461645353
931857768240
1011220241131
114838596260
122211777123
13109a74aa48
14786241231
1545a095d56
hex29cc74aeb

11220241131 has 24 divisors (see below), whose sum is σ = 17703854064. Its totient is φ = 6791117760.

The previous prime is 11220241129. The next prime is 11220241141. The reversal of 11220241131 is 13114202211.

11220241131 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 411 + 31 = 666.

It is not a de Polignac number, because 11220241131 - 21 = 11220241129 is a prime.

It is a super-2 number, since 2×112202411312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220241121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85 + ... + 149801.

It is an arithmetic number, because the mean of its divisors is an integer number (737660586).

Almost surely, 211220241131 is an apocalyptic number.

11220241131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220241131 is a deficient number, since it is larger than the sum of its proper divisors (6483612933).

11220241131 is a wasteful number, since it uses less digits than its factorization.

11220241131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150491 (or 150488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11220241131 its reverse (13114202211), we get a palindrome (24334443342).

The spelling of 11220241131 in words is "eleven billion, two hundred twenty million, two hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 757 2271 6813 8327 24981 74943 149717 449151 1347453 1646887 4940661 14821983 113335769 340007307 1020021921 1246693459 3740080377 11220241131