Search a number
-
+
10023020542441 = 173724329334183
BaseRepresentation
bin1001000111011010101010…
…0101000011100111101001
31022111012011112102222100101
42101312222211003213221
52303204121224324231
633152302335105401
72053065535622344
oct221665245034751
938435145388311
1010023020542441
113214814884305
12115a641372261
1357922255a97a
1426918c64745b
15125ac5e5e661
hex91daa9439e9

10023020542441 has 48 divisors (see below), whose sum is σ = 11199264177024. Its totient is φ = 8934161918976.

The previous prime is 10023020542439. The next prime is 10023020542489. The reversal of 10023020542441 is 14424502032001.

10023020542441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023020542441 - 21 = 10023020542439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023020542141) 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, 293199436 + ... + 293233618.

It is an arithmetic number, because the mean of its divisors is an integer number (233318003688).

Almost surely, 210023020542441 is an apocalyptic number.

It is an amenable number.

10023020542441 is a deficient number, since it is larger than the sum of its proper divisors (1176243634583).

10023020542441 is a wasteful number, since it uses less digits than its factorization.

10023020542441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34610 (or 34573 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10023020542441 its reverse (14424502032001), we get a palindrome (24447522574442).

The spelling of 10023020542441 in words is "ten trillion, twenty-three billion, twenty million, five hundred forty-two thousand, four hundred forty-one".

Divisors: 1 17 37 43 293 629 731 1369 1591 4981 10841 12599 23273 27047 34183 58867 184297 214183 401117 466163 581111 1000739 1264771 1469869 6818989 7924771 10015619 17248031 21501107 24987773 46796527 54385153 170265523 293216527 370577903 430671617 795540959 924547601 2012250661 6299824351 7321417489 13711382411 15934849829 34208261237 233093500987 270892447093 589589443673 10023020542441