Search a number
-
+
100100112090149 is a prime number
BaseRepresentation
bin10110110000101001011111…
…100111111000010000100101
3111010102110212220212122022102
4112300221133213320100211
5101110020012143341044
6552521205012141445
730040665043646213
oct2660513747702045
9433373786778272
10100100112090149
1129993245741266
12b2880a5007885
1343b1527c40202
141aa0c2aacdcb3
15b88c7879b24e
hex5b0a5f9f8425

100100112090149 has 2 divisors, whose sum is σ = 100100112090150. Its totient is φ = 100100112090148.

The previous prime is 100100112090061. The next prime is 100100112090211. The reversal of 100100112090149 is 941090211001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51263523621025 + 48836588469124 = 7159855^2 + 6988318^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100112090149 - 28 = 100100112089893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100112090049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050056045074 + 50050056045075.

It is an arithmetic number, because the mean of its divisors is an integer number (50050056045075).

Almost surely, 2100100112090149 is an apocalyptic number.

It is an amenable number.

100100112090149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100112090149 is an equidigital number, since it uses as much as digits as its factorization.

100100112090149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 100100112090149 in words is "one hundred trillion, one hundred billion, one hundred twelve million, ninety thousand, one hundred forty-nine".