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12101312212301 = 131816277381929
BaseRepresentation
bin1011000000011000111001…
…1010100110110101001101
31120211212121020212201220202
42300012032122212311031
53041231441411243201
641423133250223245
72356201540423604
oct260061632466515
946755536781822
1012101312212301
113946157299484
121435394b84b25
1369a1c2021ac0
142db9c701ca3b
1515ebb245dc6b
hexb018e6a6d4d

12101312212301 has 16 divisors (see below), whose sum is σ = 13104552093360. Its totient is φ = 11108414338560.

The previous prime is 12101312212259. The next prime is 12101312212303. The reversal of 12101312212301 is 10321221310121.

It can be written as a sum of positive squares in 8 ways, for example, as 2403039430276 + 9698272782025 = 1550174^2 + 3114205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101312212301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101312212303) 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, 147663905 + ... + 147745833.

It is an arithmetic number, because the mean of its divisors is an integer number (819034505835).

Almost surely, 212101312212301 is an apocalyptic number.

It is an amenable number.

12101312212301 is a deficient number, since it is larger than the sum of its proper divisors (1003239881059).

12101312212301 is a wasteful number, since it uses less digits than its factorization.

12101312212301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144896.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12101312212301 its reverse (10321221310121), we get a palindrome (22422533522422).

The spelling of 12101312212301 in words is "twelve trillion, one hundred one billion, three hundred twelve million, two hundred twelve thousand, three hundred one".

Divisors: 1 13 181 2353 62773 81929 816049 1065077 11361913 14829149 147704869 192778937 5142929117 66858078521 930870170177 12101312212301