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41201223132 = 22319212977333
BaseRepresentation
bin100110010111110010…
…001100010111011100
310221100101100222212010
4212113302030113130
51133340003120012
630532205111220
72656001422026
oct462762142734
9127311328763
1041201223132
111652301a833
127b9a258510
133b67bb4694
141dcbd39016
1511121b4c3c
hex997c8c5dc

41201223132 has 72 divisors (see below), whose sum is σ = 101554367376. Its totient is φ = 12999108096.

The previous prime is 41201223073. The next prime is 41201223139. The reversal of 41201223132 is 23132210214.

It is a junction number, because it is equal to n+sod(n) for n = 41201223099 and 41201223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41201223139) 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, 5614938 + ... + 5622270.

Almost surely, 241201223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41201223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50777183688).

41201223132 is an abundant number, since it is smaller than the sum of its proper divisors (60353144244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41201223132 is a wasteful number, since it uses less digits than its factorization.

41201223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41201223132 its reverse (23132210214), we get a palindrome (64333433346).

The spelling of 41201223132 in words is "forty-one billion, two hundred one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1297 1444 2166 2594 3891 4332 5188 7333 7782 14666 15564 21999 24643 29332 43998 49286 73929 87996 98572 139327 147858 278654 295716 417981 468217 557308 835962 936434 1404651 1671924 1872868 2647213 2809302 5294426 5618604 7941639 9510901 10588852 15883278 19021802 28532703 31766556 38043604 57065406 114130812 180707119 361414238 542121357 722828476 1084242714 2168485428 3433435261 6866870522 10300305783 13733741044 20600611566 41201223132