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32142024123 = 3112251352771
BaseRepresentation
bin11101111011110100…
…000101110110111011
310001222000220000001220
4131323310011312323
51011311324232443
622433231043123
72215336461066
oct357364056673
9101860800056
1032142024123
11126a4375500
1262903704a3
1330530a7bb1
1417acb138dd
15c81be2a83
hex77bd05dbb

32142024123 has 24 divisors (see below), whose sum is σ = 47294025408. Its totient is φ = 19402350000.

The previous prime is 32142024067. The next prime is 32142024181.

It is a happy number.

32142024123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32142024123 - 26 = 32142024059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32142024093 and 32142024102.

It is not an unprimeable number, because it can be changed into a prime (32142024193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85273 + ... + 267498.

It is an arithmetic number, because the mean of its divisors is an integer number (1970584392).

Almost surely, 232142024123 is an apocalyptic number.

32142024123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32142024123 is a deficient number, since it is larger than the sum of its proper divisors (15152001285).

32142024123 is a wasteful number, since it uses less digits than its factorization.

32142024123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353047 (or 353036 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, 321420 and 24123, that added together give a palindrome (345543).

The spelling of 32142024123 in words is "thirty-two billion, one hundred forty-two million, twenty-four thousand, one hundred twenty-three".

Divisors: 1 3 11 33 121 251 363 753 2761 8283 30371 91113 352771 1058313 3880481 11641443 42685291 88545521 128055873 265636563 974000731 2922002193 10714008041 32142024123