Search a number
-
+
23023122132032 = 261132703298483
BaseRepresentation
bin1010011110000011111010…
…00001000010110001000000
310000111222200222002210100022
411033001331001002301000
511004202323231211112
6120544402025113012
74564236300116441
oct517017501026100
9100458628083308
1023023122132032
117377062260840
1226ba051028768
13cb00c0295269
14598479d552c8
1529dd3e4b1d72
hex14f07d042c40

23023122132032 has 28 divisors (see below), whose sum is σ = 49839826889616. Its totient is φ = 10465055514240.

The previous prime is 23023122131981. The next prime is 23023122132149.

23023122132032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23023122131992 and 23023122132010.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 16351648538 + ... + 16351649945.

Almost surely, 223023122132032 is an apocalyptic number.

23023122132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23023122132032 is an abundant number, since it is smaller than the sum of its proper divisors (26816704757584).

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

23023122132032 is a wasteful number, since it uses less digits than its factorization.

23023122132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32703298506 (or 32703298496 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2302312 and 2132032, that added together give a palindrome (4434344).

The spelling of 23023122132032 in words is "twenty-three trillion, twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 32703298483 65406596966 130813193932 261626387864 359736283313 523252775728 719472566626 1046505551456 1438945133252 2093011102912 2877890266504 5755780533008 11511561066016 23023122132032