Search a number
-
+
13022100333031 = 178967312788719
BaseRepresentation
bin1011110101111111000110…
…1010100010000111100111
31201002220022120011202210111
42331133301222202013213
53201323230141124111
643410134215233451
72512546533340246
oct275376152420747
951086276152714
1013022100333031
114170707175039
12156392b078887
13735c9553965a
143303b724295d
15178b049d3a21
hexbd7f1aa21e7

13022100333031 has 16 divisors (see below), whose sum is σ = 13963747593600. Its totient is φ = 12100378042368.

The previous prime is 13022100333029. The next prime is 13022100333103. The reversal of 13022100333031 is 13033300122031.

It is a cyclic number.

It is not a de Polignac number, because 13022100333031 - 21 = 13022100333029 is a prime.

It is a super-2 number, since 2×130221003330312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13022100332993 and 13022100333011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022100333131) 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, 5376111 + ... + 7412608.

It is an arithmetic number, because the mean of its divisors is an integer number (872734224600).

Almost surely, 213022100333031 is an apocalyptic number.

13022100333031 is a deficient number, since it is larger than the sum of its proper divisors (941647260569).

13022100333031 is a wasteful number, since it uses less digits than its factorization.

13022100333031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789498.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13022100333031 its reverse (13033300122031), we get a palindrome (26055400455062).

The spelling of 13022100333031 in words is "thirteen trillion, twenty-two billion, one hundred million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 17 89 673 1513 11441 59897 1018249 12788719 217408223 1138195991 8606807887 19349331847 146315734079 766005901943 13022100333031