Search a number
-
+
100110202210169 is a prime number
BaseRepresentation
bin10110110000110010111001…
…000010101000011101111001
3111010110102221010012211212022
4112300302321002220131321
5101110201143231211134
6552525554134324225
730041503064363564
oct2660627102503571
9433412833184768
10100110202210169
1129997553309828
12b28a0401b9675
1343b24754c2128
141aa1506bd14db
15b8916950b52e
hex5b0cb90a8779

100110202210169 has 2 divisors, whose sum is σ = 100110202210170. Its totient is φ = 100110202210168.

The previous prime is 100110202210147. The next prime is 100110202210219. The reversal of 100110202210169 is 961012202011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81848570880400 + 18261631329769 = 9047020^2 + 4273363^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110202210169 - 216 = 100110202144633 is a prime.

It is a super-2 number, since 2×1001102022101692 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110202210129) 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, 50055101105084 + 50055101105085.

It is an arithmetic number, because the mean of its divisors is an integer number (50055101105085).

Almost surely, 2100110202210169 is an apocalyptic number.

It is an amenable number.

100110202210169 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110202210169 is an equidigital number, since it uses as much as digits as its factorization.

100110202210169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 100110202210169 in words is "one hundred trillion, one hundred ten billion, two hundred two million, two hundred ten thousand, one hundred sixty-nine".