Search a number
-
+
23013120453001 = 722411948778089
BaseRepresentation
bin1010011101110001010001…
…10111101010100110001001
310000111000212221011212000121
411032320220313222212021
511004021332313444001
6120540025342303241
74563433402212400
oct516705067524611
9100430787155017
1023013120453001
11737289a5aa2a8
1226b811b587b21
13cac18813a7a3
14597bab8b6637
1529d9563c16a1
hex14ee28dea989

23013120453001 has 12 divisors (see below), whose sum is σ = 26881444973460. Its totient is φ = 19643683127040.

The previous prime is 23013120452999. The next prime is 23013120453023. The reversal of 23013120453001 is 10035402131032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8156536081225 + 14856584371776 = 2855965^2 + 3854424^2 .

It is not a de Polignac number, because 23013120453001 - 21 = 23013120452999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23013120454001) 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 11 ways as a sum of consecutive naturals, for example, 974377236 + ... + 974400853.

It is an arithmetic number, because the mean of its divisors is an integer number (2240120414455).

Almost surely, 223013120453001 is an apocalyptic number.

It is an amenable number.

23013120453001 is a deficient number, since it is larger than the sum of its proper divisors (3868324520459).

23013120453001 is a wasteful number, since it uses less digits than its factorization.

23013120453001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948778344 (or 1948778337 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 23013120453001 its reverse (10035402131032), we get a palindrome (33048522584033).

The spelling of 23013120453001 in words is "twenty-three trillion, thirteen billion, one hundred twenty million, four hundred fifty-three thousand, one".

Divisors: 1 7 49 241 1687 11809 1948778089 13641446623 95490126361 469655519449 3287588636143 23013120453001