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11220001331231 = 7114320533165037
BaseRepresentation
bin1010001101000101110000…
…1100011001100000011111
31110201121210011222021011102
42203101130030121200133
52432312030320044411
635510221503343315
72235422043510350
oct243213414314037
943647704867142
1011220001331231
113636415279320
1213126178b1b3b
13635070495a64
142ab09dba7d27
15146cd0a5dd3b
hexa345c31981f

11220001331231 has 32 divisors (see below), whose sum is σ = 14314672593408. Its totient is φ = 8539068263040.

The previous prime is 11220001331221. The next prime is 11220001331243. The reversal of 11220001331231 is 13213310002211.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-11220001331231 is a prime.

It is a super-2 number, since 2×112200013312312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220001331221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67902245 + ... + 68067281.

It is an arithmetic number, because the mean of its divisors is an integer number (447333518544).

Almost surely, 211220001331231 is an apocalyptic number.

11220001331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220001331231 is a deficient number, since it is larger than the sum of its proper divisors (3094671262177).

11220001331231 is a wasteful number, since it uses less digits than its factorization.

11220001331231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185631.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11220001331231 its reverse (13213310002211), we get a palindrome (24433311333442).

The spelling of 11220001331231 in words is "eleven trillion, two hundred twenty billion, one million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 11 43 77 301 473 3311 20533 143731 165037 225863 882919 1155259 1581041 1815407 6180433 7096591 9712109 12707849 49676137 67984763 78062501 546437507 3388704721 23720933047 37275751931 145714303003 260930263517 1020000121021 1602857333033 11220001331231