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13132023022031 = 231519114150577
BaseRepresentation
bin1011111100011000100110…
…0100010100000111001111
31201111102001021002221102012
42333012021210110013033
53210123340343201111
643532433524051435
72523520525644224
oct277061144240717
951442037087365
1013132023022031
114203294710261
1215810a7b33b7b
13743462a080b4
1433584405d94b
1517b8d9e0948b
hexbf1899141cf

13132023022031 has 16 divisors (see below), whose sum is σ = 13808873392128. Its totient is φ = 12464179728000.

The previous prime is 13132023021977. The next prime is 13132023022051. The reversal of 13132023022031 is 13022032023131.

13132023022031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13132023022031 - 222 = 13132018827727 is a prime.

It is a super-2 number, since 2×131320230220312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13132023021988 and 13132023022006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132023022051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088615 + ... + 5239191.

It is an arithmetic number, because the mean of its divisors is an integer number (863054587008).

Almost surely, 213132023022031 is an apocalyptic number.

13132023022031 is a deficient number, since it is larger than the sum of its proper divisors (676850370097).

13132023022031 is a wasteful number, since it uses less digits than its factorization.

13132023022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151662.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13132023022031 its reverse (13022032023131), we get a palindrome (26154055045162).

The spelling of 13132023022031 in words is "thirteen trillion, one hundred thirty-two billion, twenty-three million, twenty-two thousand, thirty-one".

Divisors: 1 23 151 911 3473 20953 137561 3163903 4150577 95463271 626737127 3781175647 14414953921 86967039881 570957522697 13132023022031