Search a number
-
+
101002310323153 is a prime number
BaseRepresentation
bin10110111101110001101110…
…110101000000101111010001
3111020121201121200000112022221
4112331301232311000233101
5101214310212420320103
6554451453143301041
730163114256256301
oct2675615665005721
9436551550015287
10101002310323153
112a200926064048
12b3b2b1144a781
134448627c5c5b5
141ad2776013601
15ba247dc961bd
hex5bdc6ed40bd1

101002310323153 has 2 divisors, whose sum is σ = 101002310323154. Its totient is φ = 101002310323152.

The previous prime is 101002310323151. The next prime is 101002310323231. The reversal of 101002310323153 is 351323013200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84945844592449 + 16056465730704 = 9216607^2 + 4007052^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002310323153 - 21 = 101002310323151 is a prime.

It is a super-2 number, since 2×1010023103231532 (a number of 29 digits) contains 22 as substring.

Together with 101002310323151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101002310323151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501155161576 + 50501155161577.

It is an arithmetic number, because the mean of its divisors is an integer number (50501155161577).

Almost surely, 2101002310323153 is an apocalyptic number.

It is an amenable number.

101002310323153 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002310323153 is an equidigital number, since it uses as much as digits as its factorization.

101002310323153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 101002310323153 its reverse (351323013200101), we get a palindrome (452325323523254).

The spelling of 101002310323153 in words is "one hundred one trillion, two billion, three hundred ten million, three hundred twenty-three thousand, one hundred fifty-three".