Search a number
-
+
100000107953 is a prime number
BaseRepresentation
bin101110100100001111…
…0001000110110110001
3100120010011211211022222
41131020132020312301
53114300011423303
6113534525210425
710140044615144
oct1351036106661
9316104754288
10100000107953
11394564aa219
1217469a00a15
139578849915
144ba908c05b
15290425b938
hex1748788db1

100000107953 has 2 divisors, whose sum is σ = 100000107954. Its totient is φ = 100000107952.

The previous prime is 100000107941. The next prime is 100000107983. The reversal of 100000107953 is 359701000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96940690609 + 3059417344 = 311353^2 + 55312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100000107953 is a prime.

It is a super-2 number, since 2×1000001079532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100000107983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000053976 + 50000053977.

It is an arithmetic number, because the mean of its divisors is an integer number (50000053977).

Almost surely, 2100000107953 is an apocalyptic number.

It is an amenable number.

100000107953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000107953 is an equidigital number, since it uses as much as digits as its factorization.

100000107953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 26.

Adding to 100000107953 its reverse (359701000001), we get a palindrome (459701107954).

The spelling of 100000107953 in words is "one hundred billion, one hundred seven thousand, nine hundred fifty-three".