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12301033010321 = 113378167406309
BaseRepresentation
bin1011001100000000111010…
…1100111111010010010001
31121112222010010210111022002
42303000032230333102101
53103020003422312241
642055003324123345
72406502031252636
oct263001654772221
947488103714262
1012301033010321
113a129254a1040
121468033096555
136b2ca05458b3
14307531dc218d
15164ea113189b
hexb300eb3f491

12301033010321 has 16 divisors (see below), whose sum is σ = 13460809764480. Its totient is φ = 11148181390080.

The previous prime is 12301033010311. The next prime is 12301033010359.

12301033010321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12301033010321 - 26 = 12301033010257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12301033010293 and 12301033010302.

It is not an unprimeable number, because it can be changed into a prime (12301033010311) 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, 30071915 + ... + 30478223.

It is an arithmetic number, because the mean of its divisors is an integer number (841300610280).

Almost surely, 212301033010321 is an apocalyptic number.

12301033010321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301033010321 is a deficient number, since it is larger than the sum of its proper divisors (1159776754159).

12301033010321 is a wasteful number, since it uses less digits than its factorization.

12301033010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414824.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1230103 and 3010321, that added together give a palindrome (4240424).

The spelling of 12301033010321 in words is "twelve trillion, three hundred one billion, thirty-three million, ten thousand, three hundred twenty-one".

Divisors: 1 11 337 3707 8167 89837 406309 2752279 4469399 30275069 136926133 1506187463 3318325603 36501581633 1118275728211 12301033010321