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100105500550541 is a prime number
BaseRepresentation
bin10110110000101110100000…
…110011001110010110001101
3111010102222210110012210100112
4112300232200303032112031
5101110112031120104131
6552523455421405405
730041245424054243
oct2660564063162615
9433388713183315
10100105500550541
1129995560352312
12b289149709865
1343b1ba63ccb05
141aa11bc5d0793
15b88e9188702b
hex5b0ba0cce58d

100105500550541 has 2 divisors, whose sum is σ = 100105500550542. Its totient is φ = 100105500550540.

The previous prime is 100105500550463. The next prime is 100105500550547. The reversal of 100105500550541 is 145055005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95035104474025 + 5070396076516 = 9748595^2 + 2251754^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105500550541 - 222 = 100105496356237 is a prime.

It is a super-2 number, since 2×1001055005505412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105500550498 and 100105500550507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500550547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750275270 + 50052750275271.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750275271).

Almost surely, 2100105500550541 is an apocalyptic number.

It is an amenable number.

100105500550541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500550541 is an equidigital number, since it uses as much as digits as its factorization.

100105500550541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12500, while the sum is 32.

The spelling of 100105500550541 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, five hundred forty-one".