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102442023013001 = 779216730194651
BaseRepresentation
bin10111010010101110100100…
…011001000100101010001001
3111102201100202201102222212112
4113102232210121010222021
5101411402230342404001
61001513114330552105
730402122554232240
oct2722564431045211
9442640681388775
10102442023013001
112a706466372a71
12b5a5b4a298635
13452131a241bc9
141b4231299b957
15bc9b43588cbb
hex5d2ba4644a89

102442023013001 has 48 divisors (see below), whose sum is σ = 119352551592960. Its totient is φ = 86129756762400.

The previous prime is 102442023012983. The next prime is 102442023013139. The reversal of 102442023013001 is 100310320244201.

It is not a de Polignac number, because 102442023013001 - 26 = 102442023012937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102442023013901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22025803526 + ... + 22025808176.

It is an arithmetic number, because the mean of its divisors is an integer number (2486511491520).

Almost surely, 2102442023013001 is an apocalyptic number.

It is an amenable number.

102442023013001 is a deficient number, since it is larger than the sum of its proper divisors (16910528579959).

102442023013001 is an equidigital number, since it uses as much as digits as its factorization.

102442023013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102442023013001 its reverse (100310320244201), we get a palindrome (202752343257202).

The spelling of 102442023013001 in words is "one hundred two trillion, four hundred forty-two billion, twenty-three million, thirteen thousand, one".

Divisors: 1 7 79 167 553 1169 3019 4651 6241 13193 21133 32557 43687 92351 238501 367429 504173 776717 1042247 1669507 2572003 3529211 5437019 7295729 14041369 18841579 29026891 39829667 61360643 98289583 131891053 203188237 278807669 429524501 1109268151 2344908623 3146543693 4847490797 7764877057 16414360361 22025805851 33932435579 87632183929 185247781217 613425287503 1296734468519 14634574716143 102442023013001