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12434034101 = 531371819461
BaseRepresentation
bin10111001010010000…
…00100110110110101
31012002112211101012112
423211020010312311
5200431103042401
65413452300405
7620061355166
oct134510046665
935075741175
1012434034101
115300762945
1224b0171705
131232061338
1485d52176d
154cb9083bb
hex2e5204db5

12434034101 has 16 divisors (see below), whose sum is σ = 12832969968. Its totient is φ = 12042201600.

The previous prime is 12434034059. The next prime is 12434034139. The reversal of 12434034101 is 10143043421.

It can be written as a sum of positive squares in 8 ways, for example, as 29866225 + 12404167876 = 5465^2 + 111374^2 .

It is a cyclic number.

It is not a de Polignac number, because 12434034101 - 222 = 12429839797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434034181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309511 + ... + 1318971.

It is an arithmetic number, because the mean of its divisors is an integer number (802060623).

Almost surely, 212434034101 is an apocalyptic number.

It is an amenable number.

12434034101 is a deficient number, since it is larger than the sum of its proper divisors (398935867).

12434034101 is a wasteful number, since it uses less digits than its factorization.

12434034101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12434034101 its reverse (10143043421), we get a palindrome (22577077522).

The spelling of 12434034101 in words is "twelve billion, four hundred thirty-four million, thirty-four thousand, one hundred one".

Divisors: 1 53 137 181 7261 9461 9593 24797 501433 1296157 1314241 1712441 68696321 90759373 234604417 12434034101