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100100012213 is a prime number
BaseRepresentation
bin101110100111001101…
…1001111100010110101
3100120101010211111012202
41131032123033202311
53120001100342323
6113552454354245
710142400031205
oct1351633174265
9316333744182
10100100012213
11394a7935823
121749735b985
139593458976
144bb8456405
15290cde2d28
hex174e6cf8b5

100100012213 has 2 divisors, whose sum is σ = 100100012214. Its totient is φ = 100100012212.

The previous prime is 100100012179. The next prime is 100100012249. The reversal of 100100012213 is 312210001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100043792209 + 56220004 = 316297^2 + 7498^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100012213 - 216 = 100099946677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100012194 and 100100012203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100012293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050006106 + 50050006107.

It is an arithmetic number, because the mean of its divisors is an integer number (50050006107).

Almost surely, 2100100012213 is an apocalyptic number.

It is an amenable number.

100100012213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100012213 is an equidigital number, since it uses as much as digits as its factorization.

100100012213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100100012213 its reverse (312210001001), we get a palindrome (412310013214).

The spelling of 100100012213 in words is "one hundred billion, one hundred million, twelve thousand, two hundred thirteen".