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102413001041 = 13212723320479
BaseRepresentation
bin101111101100001001…
…0100110000101010001
3100210100100010111101122
41133120102212011101
53134220212013131
6115014202012025
710253614100651
oct1373022460521
9323310114348
10102413001041
113a48451853a
1217a21aa7015
1398716cac00
144d57706361
1529e5eccd7b
hex17d84a6151

102413001041 has 24 divisors (see below), whose sum is σ = 112255303680. Its totient is φ = 93383611776.

The previous prime is 102413001037. The next prime is 102413001049. The reversal of 102413001041 is 140100314201.

It is a happy number.

It is not a de Polignac number, because 102413001041 - 22 = 102413001037 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102413001049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4990640 + ... + 5011118.

It is an arithmetic number, because the mean of its divisors is an integer number (4677304320).

Almost surely, 2102413001041 is an apocalyptic number.

It is an amenable number.

102413001041 is a deficient number, since it is larger than the sum of its proper divisors (9842302639).

102413001041 is a wasteful number, since it uses less digits than its factorization.

102413001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20865 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102413001041 its reverse (140100314201), we get a palindrome (242513315242).

The spelling of 102413001041 in words is "one hundred two billion, four hundred thirteen million, one thousand, forty-one".

Divisors: 1 13 127 169 233 1651 3029 20479 21463 29591 39377 266227 384683 2600833 3460951 4771607 5000879 33810829 62030891 439540777 605994089 806401583 7877923157 102413001041