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23322212313101 = 1341137461692821
BaseRepresentation
bin1010100110110001000000…
…01011100010100000001101
310001120120201002001020010222
411103120200023202200031
511024102342323004401
6121334024301441125
74624655106526562
oct523304013424015
9101516632036128
1023322212313101
117481992929669
1227480018701a5
131002376770170
145a8b30302869
152a69e6d54c1b
hex1536202e280d

23322212313101 has 32 divisors (see below), whose sum is σ = 25972876946016. Its totient is φ = 20804553216000.

The previous prime is 23322212313047. The next prime is 23322212313193. The reversal of 23322212313101 is 10131321222332.

It can be written as a sum of positive squares in 16 ways, for example, as 15951796360900 + 7370415952201 = 3993970^2 + 2714851^2 .

It is a cyclic number.

It is not a de Polignac number, because 23322212313101 - 218 = 23322212050957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322212363101) 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, 33316271 + ... + 34009091.

It is an arithmetic number, because the mean of its divisors is an integer number (811652404563).

Almost surely, 223322212313101 is an apocalyptic number.

It is an amenable number.

23322212313101 is a deficient number, since it is larger than the sum of its proper divisors (2650664632915).

23322212313101 is a wasteful number, since it uses less digits than its factorization.

23322212313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693473.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 23322212313101 its reverse (10131321222332), we get a palindrome (33453533535433).

The spelling of 23322212313101 in words is "twenty-three trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirteen thousand, one hundred one".

Divisors: 1 13 41 137 461 533 1781 5617 5993 18901 63157 73021 245713 692821 821041 2589437 9006673 28405661 33662681 94916477 319390481 369273593 1233914201 3891575557 4152076253 13095009721 43756495897 50590482241 170235126373 568834446661 1794016331777 23322212313101