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13222023320101 = 174195340274943
BaseRepresentation
bin1100000001100111111000…
…0000001101001000100101
31201211000100112112210102011
43000121332000031020211
53213112200432220401
644042040314514221
72533155030601621
oct300317600151045
951730315483364
1013222023320101
114238479515292
121596624a35971
1374baa6902c3b
14339d40dd8181
1517de062e4451
hexc067e00d225

13222023320101 has 32 divisors (see below), whose sum is σ = 14362766304768. Its totient is φ = 12122534645760.

The previous prime is 13222023319997. The next prime is 13222023320117. The reversal of 13222023320101 is 10102332022231.

It is not a de Polignac number, because 13222023320101 - 213 = 13222023311909 is a prime.

It is a super-2 number, since 2×132220233201012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222023326101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2674896036 + ... + 2674900978.

It is an arithmetic number, because the mean of its divisors is an integer number (448836447024).

Almost surely, 213222023320101 is an apocalyptic number.

It is an amenable number.

13222023320101 is a deficient number, since it is larger than the sum of its proper divisors (1140742984667).

13222023320101 is a wasteful number, since it uses less digits than its factorization.

13222023320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13222023320101 its reverse (10102332022231), we get a palindrome (23324355342332).

The spelling of 13222023320101 in words is "thirteen trillion, two hundred twenty-two billion, twenty-three million, three hundred twenty thousand, one hundred one".

Divisors: 1 17 41 697 953 4027 4943 16201 39073 68459 84031 165107 202663 664241 2806819 3445271 3837731 4710679 19905461 65241427 80081543 157346971 193137839 338392837 816123901 2674898507 3283343263 13874106317 18969904333 322488373661 777766077653 13222023320101