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13022211222031 = 114773934083937
BaseRepresentation
bin1011110101111111100001…
…0001100010101000001111
31201002220121021211111220111
42331133320101202220033
53201323442033101111
643410153220100451
72512552351023634
oct275377021425017
951086537744814
1013022211222031
114170763823640
121563960234727
13735cb24c354b
143303c7c6a18b
15178b0e5d9a21
hexbd7f8462a0f

13022211222031 has 16 divisors (see below), whose sum is σ = 14527937733120. Its totient is φ = 11570814593280.

The previous prime is 13022211222023. The next prime is 13022211222061.

13022211222031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13022211222031 - 23 = 13022211222023 is a prime.

It is a super-2 number, since 2×130222112220312 (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 = 13022211221993 and 13022211222011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022211222061) 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, 16659906 + ... + 17424031.

It is an arithmetic number, because the mean of its divisors is an integer number (907996108320).

Almost surely, 213022211222031 is an apocalyptic number.

13022211222031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13022211222031 is a deficient number, since it is larger than the sum of its proper divisors (1505726511089).

13022211222031 is a wasteful number, since it uses less digits than its factorization.

13022211222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34084734.

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 13022211222031 by its sum of digits (22), we get a palindrome (286488646884682).

It can be divided in two parts, 1302221 and 1222031, that added together give a palindrome (2524252).

The spelling of 13022211222031 in words is "thirteen trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 11 47 517 739 8129 34733 382063 34083937 374923307 1601945039 17621395429 25188029443 277068323873 1183837383821 13022211222031