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10002132301 = 72892293541
BaseRepresentation
bin10010101000010110…
…00110110101001101
3221211001202222002111
421110023012311031
5130441021213201
64332300224021
7502601502400
oct112413066515
927731688074
1010002132301
114272a41047
121b3183b011
13c35285ba5
146ac559d37
153d817eb51
hex2542c6d4d

10002132301 has 12 divisors (see below), whose sum is σ = 11765870460. Its totient is φ = 8476923840.

The previous prime is 10002132271. The next prime is 10002132311. The reversal of 10002132301 is 10323120001.

It can be written as a sum of positive squares in 2 ways, for example, as 5469342025 + 4532790276 = 73955^2 + 67326^2 .

It is not a de Polignac number, because 10002132301 - 213 = 10002124109 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 (10002132311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142410 + ... + 1151131.

It is an arithmetic number, because the mean of its divisors is an integer number (980489205).

Almost surely, 210002132301 is an apocalyptic number.

It is an amenable number.

10002132301 is a deficient number, since it is larger than the sum of its proper divisors (1763738159).

10002132301 is an equidigital number, since it uses as much as digits as its factorization.

10002132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293644 (or 2293637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10002132301 its reverse (10323120001), we get a palindrome (20325252302).

The spelling of 10002132301 in words is "ten billion, two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 7 49 89 623 4361 2293541 16054787 112383509 204125149 1428876043 10002132301