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3214200024123 = 311218148920141
BaseRepresentation
bin101110110001011101010…
…000000010110000111011
3102101021102010101221000220
4232301131100002300323
5410130140201232443
610500325541231123
7451134605264244
oct56613520026073
912337363357026
103214200024123
11102a153135200
1243ab251024a3
131a4136a231ca
14b17d4c7bccb
155891e65ca83
hex2ec5d402c3b

3214200024123 has 24 divisors (see below), whose sum is σ = 4736643829008. Its totient is φ = 1937237544000.

The previous prime is 3214200024073. The next prime is 3214200024127.

It is a happy number.

3214200024123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3214200024123 - 230 = 3213126282299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3214200024093 and 3214200024102.

It is not an unprimeable number, because it can be changed into a prime (3214200024127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24394368 + ... + 24525773.

It is an arithmetic number, because the mean of its divisors is an integer number (197360159542).

Almost surely, 23214200024123 is an apocalyptic number.

3214200024123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3214200024123 is a deficient number, since it is larger than the sum of its proper divisors (1522443804885).

3214200024123 is a wasteful number, since it uses less digits than its factorization.

3214200024123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48920347 (or 48920336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 32142000 and 24123, that added together give a palindrome (32166123).

The spelling of 3214200024123 in words is "three trillion, two hundred fourteen billion, two hundred million, twenty-four thousand, one hundred twenty-three".

Divisors: 1 3 11 33 121 181 363 543 1991 5973 21901 65703 48920141 146760423 538121551 1614364653 5919337061 8854545521 17758011183 26563636563 97400000731 292200002193 1071400008041 3214200024123