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32121012123 = 32101269131363
BaseRepresentation
bin11101111010100011…
…111011111110011011
310001220120100111000200
4131322203323332123
51011240434341443
622431200433243
72214663045444
oct357243737633
9101816314020
1032121012123
1112693523912
126285318823
13304b92bc65
1417aa0042cb
15c7ee41dd3
hex77a8fbf9b

32121012123 has 24 divisors (see below), whose sum is σ = 47030939280. Its totient is φ = 21123009600.

The previous prime is 32121012107. The next prime is 32121012127.

32121012123 is a `hidden beast` number, since 321 + 210 + 12 + 123 = 666.

32121012123 is nontrivially palindromic in base 10.

32121012123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 32121012123 - 24 = 32121012107 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 32121012096 and 32121012105.

It is not an unprimeable number, because it can be changed into a prime (32121012127) 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, 178840 + ... + 310202.

It is an arithmetic number, because the mean of its divisors is an integer number (1959622470).

Almost surely, 232121012123 is an apocalyptic number.

32121012123 is a deficient number, since it is larger than the sum of its proper divisors (14909927157).

32121012123 is a wasteful number, since it uses less digits than its factorization.

32121012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131739 (or 131736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 321210 and 12123, that added together give a palindrome (333333).

The spelling of 32121012123 in words is "thirty-two billion, one hundred twenty-one million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 101 269 303 807 909 2421 27169 81507 131363 244521 394089 1182267 13267663 35336647 39802989 106009941 119408967 318029823 3569001347 10707004041 32121012123