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3213223123 = 112103347743
BaseRepresentation
bin1011111110000101…
…1110010011010011
322021221020122110211
42333201132103103
523040041114443
61250502304551
7142424642305
oct27741362323
98257218424
103213223123
1113a9865100
12758128157
133c291b476
14226a6b975
1513c16119d
hexbf85e4d3

3213223123 has 24 divisors (see below), whose sum is σ = 3581270784. Its totient is φ = 2880533040.

The previous prime is 3213223121. The next prime is 3213223127.

3213223123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3213223123 - 21 = 3213223121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3213223094 and 3213223103.

It is not an unprimeable number, because it can be changed into a prime (3213223121) 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 23 ways as a sum of consecutive naturals, for example, 4324290 + ... + 4325032.

It is an arithmetic number, because the mean of its divisors is an integer number (149219616).

Almost surely, 23213223123 is an apocalyptic number.

3213223123 is a deficient number, since it is larger than the sum of its proper divisors (368047661).

3213223123 is a wasteful number, since it uses less digits than its factorization.

3213223123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 3213223123 is about 56685.2990024751. The cubic root of 3213223123 is about 1475.6395767737.

It can be divided in two parts, 32132 and 23123, that added together give a palindrome (55255).

The spelling of 3213223123 in words is "three billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 11 103 121 347 743 1133 3817 8173 12463 35741 41987 76529 89903 257821 393151 841819 2836031 4324661 9260009 26555563 31196341 292111193 3213223123