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12211231300301 = 1159101186291649
BaseRepresentation
bin1011000110110010011000…
…0110101001101011001101
31121020101022201000221220002
42301230212012221223031
53100032100203102201
641545432345534045
72400142460312165
oct261544606515315
947211281027802
1012211231300301
1139888327a5170
1214527507a4325
136a768b82c487
1430305357d5a5
151629973c276b
hexb1b261a9acd

12211231300301 has 16 divisors (see below), whose sum is σ = 13681258776000. Its totient is φ = 10804915584000.

The previous prime is 12211231300273. The next prime is 12211231300321. The reversal of 12211231300301 is 10300313211221.

It is a happy number.

12211231300301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211231300301 is a prime.

It is a super-2 number, since 2×122112313003012 (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 (12211231300321) 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, 93080276 + ... + 93211373.

It is an arithmetic number, because the mean of its divisors is an integer number (855078673500).

Almost surely, 212211231300301 is an apocalyptic number.

12211231300301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211231300301 is a deficient number, since it is larger than the sum of its proper divisors (1470027475699).

12211231300301 is a wasteful number, since it uses less digits than its factorization.

12211231300301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186291820.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12211231300301 its reverse (10300313211221), we get a palindrome (22511544511522).

It can be divided in two parts, 122112 and 31300301, that added together give a palindrome (31422413).

The spelling of 12211231300301 in words is "twelve trillion, two hundred eleven billion, two hundred thirty-one million, three hundred thousand, three hundred one".

Divisors: 1 11 59 101 649 1111 5959 65549 186291649 2049208139 10991207291 18815456549 120903280201 206970022039 1110111936391 12211231300301