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123468864321 = 311313711328867
BaseRepresentation
bin111001011111101010…
…0010101101101000001
3102210200202110011202210
41302333110111231001
54010331012124241
6132415410132333
711630450013315
oct1627724255501
9383622404683
10123468864321
11483a9a56240
121bb195810a9
13b848a71aca
145d93d1bb45
1533297b2316
hex1cbf515b41

123468864321 has 64 divisors (see below), whose sum is σ = 192086286336. Its totient is φ = 69832627200.

The previous prime is 123468864287. The next prime is 123468864347.

123468864321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123468864321 - 26 = 123468864257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123468864121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4262730 + ... + 4291596.

It is an arithmetic number, because the mean of its divisors is an integer number (3001348224).

Almost surely, 2123468864321 is an apocalyptic number.

123468864321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123468864321 is a deficient number, since it is larger than the sum of its proper divisors (68617422015).

123468864321 is a wasteful number, since it uses less digits than its factorization.

123468864321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29062.

The product of its digits is 1327104, while the sum is 48.

It can be divided in two parts, 123468 and 864321, that added together give a palindrome (987789).

The spelling of 123468864321 in words is "one hundred twenty-three billion, four hundred sixty-eight million, eight hundred sixty-four thousand, three hundred twenty-one".

Divisors: 1 3 11 31 33 37 93 111 113 339 341 407 1023 1147 1221 1243 3441 3503 3729 4181 10509 12543 12617 28867 37851 38533 45991 86601 115599 129611 137973 317537 388833 894877 952611 1068079 1425721 2684631 3204237 3261971 4277163 9785913 9843647 11748869 29530941 33110449 35246607 35881681 99331347 101121101 107645043 120692927 303363303 362078781 364214939 1092644817 1112332111 1327622197 3336996333 3741480737 3982866591 11224442211 41156288107 123468864321