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22013410041 = 337172467863
BaseRepresentation
bin10100100000000110…
…011111101011111001
32002211011010002121000
4110200012133223321
5330040413110131
614040211435213
71406340620010
oct244006375371
962734102530
1022013410041
119376aa5867
1243242b5b09
1320ca868a1c
1410cb871a77
1588c8cbce6
hex52019faf9

22013410041 has 96 divisors (see below), whose sum is σ = 39723540480. Its totient is φ = 11800104192.

The previous prime is 22013410021. The next prime is 22013410057. The reversal of 22013410041 is 14001431022.

It is not a de Polignac number, because 22013410041 - 225 = 21979855609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22013409996 and 22013410023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013410021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25507576 + ... + 25508438.

It is an arithmetic number, because the mean of its divisors is an integer number (413786880).

Almost surely, 222013410041 is an apocalyptic number.

22013410041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22013410041 is a deficient number, since it is larger than the sum of its proper divisors (17710130439).

22013410041 is a wasteful number, since it uses less digits than its factorization.

22013410041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22013410041 its reverse (14001431022), we get a palindrome (36014841063).

The spelling of 22013410041 in words is "twenty-two billion, thirteen million, four hundred ten thousand, forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 289 357 459 467 863 867 1071 1401 2023 2589 2601 3213 3269 4203 6041 6069 7767 7803 7939 9807 12609 14671 18123 18207 23301 23817 29421 44013 54369 54621 55573 71451 88263 102697 132039 134963 163107 166719 214353 249407 308091 396117 403021 404889 500157 748221 924273 944741 1209063 1214667 1500471 1745849 2244663 2772819 2821147 2834223 3627189 3644001 5237547 6733989 6851357 8463441 8502669 10881567 15712641 20554071 25390323 25508007 47137923 47959499 61662213 76170969 116473069 143878497 184986639 349419207 431635491 815311483 1048257621 1294906473 2445934449 3144772863 7337803347 22013410041