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12300122331101 = 112337309656603
BaseRepresentation
bin1011001011111101100001…
…1011000001011111011101
31121112212202200012012021002
42302333120123001133131
53103011122304043401
642054333113120045
72406440332515323
oct262773033013735
947485680165232
1012300122331101
113a124a8435290
121467a1a0b9025
136b2b86980457
14307487085d13
15164e4b1e5a6b
hexb2fd86c17dd

12300122331101 has 16 divisors (see below), whose sum is σ = 13477768873920. Its totient is φ = 11132398005120.

The previous prime is 12300122331083. The next prime is 12300122331113. The reversal of 12300122331101 is 10113322100321.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12300122331101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300122331131) 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, 18404666 + ... + 19061268.

It is an arithmetic number, because the mean of its divisors is an integer number (842360554620).

Almost surely, 212300122331101 is an apocalyptic number.

12300122331101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300122331101 is a deficient number, since it is larger than the sum of its proper divisors (1177646542819).

12300122331101 is a wasteful number, since it uses less digits than its factorization.

12300122331101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664156.

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

Adding to 12300122331101 its reverse (10113322100321), we get a palindrome (22413444431422).

The spelling of 12300122331101 in words is "twelve trillion, three hundred billion, one hundred twenty-two million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 11 233 2563 7309 80399 656603 1702997 7222633 18732967 152988499 1682873489 4799111327 52790224597 1118192939191 12300122331101