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100100023213 is a prime number
BaseRepresentation
bin101110100111001101…
…1010010001110101101
3100120101010212001022011
41131032123102032231
53120001101220323
6113552454521221
710142400105241
oct1351633221655
9316333761264
10100100023213
11394a7943013
1217497366211
139593460988
144bb845a421
15290cde620d
hex174e6d23ad

100100023213 has 2 divisors, whose sum is σ = 100100023214. Its totient is φ = 100100023212.

The previous prime is 100100023201. The next prime is 100100023241. The reversal of 100100023213 is 312320001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96287331204 + 3812692009 = 310302^2 + 61747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100100023213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100023193 and 100100023202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100027213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050011606 + 50050011607.

It is an arithmetic number, because the mean of its divisors is an integer number (50050011607).

Almost surely, 2100100023213 is an apocalyptic number.

It is an amenable number.

100100023213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100023213 is an equidigital number, since it uses as much as digits as its factorization.

100100023213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100100023213 its reverse (312320001001), we get a palindrome (412420024214).

The spelling of 100100023213 in words is "one hundred billion, one hundred million, twenty-three thousand, two hundred thirteen".