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123200002321 = 1189125842699
BaseRepresentation
bin111001010111101001…
…0101101100100010001
3102210000000112120102221
41302233102231210101
54004303200033241
6132333003341041
711621003512144
oct1625722554421
9383000476387
10123200002321
114828120a240
121ba63521781
13b805156c76
145d6a33205b
153310da45d1
hex1caf4ad911

123200002321 has 8 divisors (see below), whose sum is σ = 135910116000. Its totient is φ = 110741574240.

The previous prime is 123200002207. The next prime is 123200002327.

123200002321 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-123200002321 is a prime.

It is a super-3 number, since 3×1232000023213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123200002295 and 123200002304.

It is not an unprimeable number, because it can be changed into a prime (123200002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62920371 + ... + 62922328.

It is an arithmetic number, because the mean of its divisors is an integer number (16988764500).

Almost surely, 2123200002321 is an apocalyptic number.

123200002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123200002321 is a deficient number, since it is larger than the sum of its proper divisors (12710113679).

123200002321 is a wasteful number, since it uses less digits than its factorization.

123200002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125842799.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 12320000 and 2321, that added together give a palindrome (12322321).

The spelling of 123200002321 in words is "one hundred twenty-three billion, two hundred million, two thousand, three hundred twenty-one".

Divisors: 1 11 89 979 125842699 1384269689 11200000211 123200002321