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100002100141 is a prime number
BaseRepresentation
bin101110100100010010…
…1101111001110101101
3100120010022121001002201
41131020211233032231
53114301014201031
6113535040021501
710140100553236
oct1351045571655
9316108531081
10100002100141
113945763aa59
121746a601891
139579096628
144ba944a08d
152904501d61
hex174896f3ad

100002100141 has 2 divisors, whose sum is σ = 100002100142. Its totient is φ = 100002100140.

The previous prime is 100002100129. The next prime is 100002100217. The reversal of 100002100141 is 141001200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100001412900 + 687241 = 316230^2 + 829^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002100141 - 233 = 91412165549 is a prime.

It is a super-2 number, since 2×1000021001412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002100741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001050070 + 50001050071.

It is an arithmetic number, because the mean of its divisors is an integer number (50001050071).

Almost surely, 2100002100141 is an apocalyptic number.

It is an amenable number.

100002100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002100141 is an equidigital number, since it uses as much as digits as its factorization.

100002100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100002100141 its reverse (141001200001), we get a palindrome (241003300142).

The spelling of 100002100141 in words is "one hundred billion, two million, one hundred thousand, one hundred forty-one".