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12002100093 = 321333566677
BaseRepresentation
bin10110010110110000…
…11000001101111101
31010222110001212010200
423023120120031331
5144040014200333
65302542354113
7603265111314
oct131330301575
933873055120
1012002100093
1150a9966495
1223ab58b939
13119371b699
1481c00727b
154a3a37c13
hex2cb61837d

12002100093 has 6 divisors (see below), whose sum is σ = 17336366814. Its totient is φ = 8001400056.

The previous prime is 12002100083. The next prime is 12002100137. The reversal of 12002100093 is 39000120021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11846798649 + 155301444 = 108843^2 + 12462^2 .

It is not a de Polignac number, because 12002100093 - 221 = 12000002941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002100083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666783330 + ... + 666783347.

It is an arithmetic number, because the mean of its divisors is an integer number (2889394469).

Almost surely, 212002100093 is an apocalyptic number.

It is an amenable number.

12002100093 is a deficient number, since it is larger than the sum of its proper divisors (5334266721).

12002100093 is a wasteful number, since it uses less digits than its factorization.

12002100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333566683 (or 1333566680 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 12002100093 in words is "twelve billion, two million, one hundred thousand, ninety-three".

Divisors: 1 3 9 1333566677 4000700031 12002100093