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23221354521141 = 3272389135362809
BaseRepresentation
bin1010100011110101001001…
…00101100110001000110101
310001012221101010022112112200
411101322210211212020311
511020424313224134031
6121215424253135113
74614454545455100
oct521724445461065
9101187333275480
1023221354521141
11744313727a797
12273055478a499
13cc59c232491a
145a3cc3391737
152a40926798e6
hex151ea4966235

23221354521141 has 36 divisors (see below), whose sum is σ = 39118498461900. Its totient is φ = 13235233915008.

The previous prime is 23221354521119. The next prime is 23221354521151. The reversal of 23221354521141 is 14112545312232.

23221354521141 is a `hidden beast` number, since 2 + 3 + 22 + 135 + 452 + 11 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6639274669041 + 16582079852100 = 2576679^2 + 4072110^2 .

It is not a de Polignac number, because 23221354521141 - 29 = 23221354520629 is a prime.

It is a super-2 number, since 2×232213545211412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23221354521096 and 23221354521105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221354521151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67509856 + ... + 67852953.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624957275).

Almost surely, 223221354521141 is an apocalyptic number.

23221354521141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23221354521141 is a deficient number, since it is larger than the sum of its proper divisors (15897143940759).

23221354521141 is a wasteful number, since it uses less digits than its factorization.

23221354521141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135363218 (or 135363208 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 23221354521141 its reverse (14112545312232), we get a palindrome (37333899833373).

The spelling of 23221354521141 in words is "twenty-three trillion, two hundred twenty-one billion, three hundred fifty-four million, five hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 389 441 1167 2723 3501 8169 19061 24507 57183 171549 135362809 406088427 947539663 1218265281 2842618989 6632777641 8527856967 19898332923 52656132701 59694998769 157968398103 368592928907 473905194309 1105778786721 2580150502349 3317336360163 7740451507047 23221354521141