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22113201031131 = 37171917599185243
BaseRepresentation
bin1010000011100101000010…
…11111100000011111011011
32220022000001000000120012110
411001302201133200133123
510344300313430444011
6115010355254043403
74441424510303460
oct501624137403733
986260030016173
1022113201031131
117056179546001
12259182a349563
13c4535c284c62
145663db0a7667
15285335eaeba6
hex141ca17e07db

22113201031131 has 64 divisors (see below), whose sum is σ = 37558591488000. Its totient is φ = 11266175402496.

The previous prime is 22113201031109. The next prime is 22113201031223. The reversal of 22113201031131 is 13113010231122.

It is not a de Polignac number, because 22113201031131 - 217 = 22113200900059 is a prime.

It is a super-2 number, since 2×221132010311312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22113201031098 and 22113201031107.

It is not an unprimeable number, because it can be changed into a prime (22113201036131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119281396 + ... + 119466638.

It is an arithmetic number, because the mean of its divisors is an integer number (586852992000).

Almost surely, 222113201031131 is an apocalyptic number.

22113201031131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22113201031131 is a deficient number, since it is larger than the sum of its proper divisors (15445390456869).

22113201031131 is a wasteful number, since it uses less digits than its factorization.

22113201031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202888.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 22113201031131 its reverse (13113010231122), we get a palindrome (35226211262253).

The spelling of 22113201031131 in words is "twenty-two trillion, one hundred thirteen billion, two hundred one million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 969 2261 6783 17599 52797 123193 185243 299183 334381 369579 555729 897549 1003143 1296701 2094281 2340667 3149131 3519617 3890103 5684477 6282843 7022001 9447393 10558851 17053431 22043917 24637319 39791339 59833489 66131751 73911957 119374017 179500467 418834423 1256503269 3260091557 9780274671 22820640899 55421556469 61941739583 68461922697 166264669407 185825218749 387950895283 433592177081 1053009572911 1163852685849 1300776531243 3159028718733 7371067010377 22113201031131