Search a number
-
+
1023232211123 = 47611201297169
BaseRepresentation
bin11101110001111010110…
…01000111100010110011
310121211010210221000211212
432320331121013202303
5113231034421223443
62102022201230335
7133632435200663
oct16707531074263
93554123830755
101023232211123
11364a4a9a8a81
121463864923ab
137564b4ac525
143774bb001a3
151b93b144618
hexee3d6478b3

1023232211123 has 16 divisors (see below), whose sum is σ = 1063022259840. Its totient is φ = 984220416000.

The previous prime is 1023232211117. The next prime is 1023232211153. The reversal of 1023232211123 is 3211122323201.

It is a cyclic number.

It is not a de Polignac number, because 1023232211123 - 228 = 1022963775667 is a prime.

It is a super-2 number, since 2×10232322111232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023232211153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3294683 + ... + 3591851.

It is an arithmetic number, because the mean of its divisors is an integer number (66438891240).

Almost surely, 21023232211123 is an apocalyptic number.

1023232211123 is a deficient number, since it is larger than the sum of its proper divisors (39790048717).

1023232211123 is a wasteful number, since it uses less digits than its factorization.

1023232211123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298478.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1023232211123 its reverse (3211122323201), we get a palindrome (4234354534324).

The spelling of 1023232211123 in words is "one trillion, twenty-three billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty-three".

Divisors: 1 47 61 1201 2867 56447 73261 297169 3443267 13966943 18127309 356899969 851983523 16774298543 21770898109 1023232211123