Search a number
-
+
101325525413429 is a prime number
BaseRepresentation
bin10111000010011110101111…
…111100101110111000110101
3111021202121220002020100001102
4113002132233330232320311
5101240104134001212204
6555300145340335445
730225345656225612
oct2702365774567065
9437677802210042
10101325525413429
112a315a065aa269
12b445695544585
13446cc575890c5
141b04278433509
15baaa995a041e
hex5c27aff2ee35

101325525413429 has 2 divisors, whose sum is σ = 101325525413430. Its totient is φ = 101325525413428.

The previous prime is 101325525413417. The next prime is 101325525413507. The reversal of 101325525413429 is 924314525523101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51938686922500 + 49386838490929 = 7206850^2 + 7027577^2 .

It is an emirp because it is prime and its reverse (924314525523101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101325525413429 is a prime.

It is a super-2 number, since 2×1013255254134292 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101325525413929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50662762706714 + 50662762706715.

It is an arithmetic number, because the mean of its divisors is an integer number (50662762706715).

Almost surely, 2101325525413429 is an apocalyptic number.

It is an amenable number.

101325525413429 is a deficient number, since it is larger than the sum of its proper divisors (1).

101325525413429 is an equidigital number, since it uses as much as digits as its factorization.

101325525413429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 101325525413429 in words is "one hundred one trillion, three hundred twenty-five billion, five hundred twenty-five million, four hundred thirteen thousand, four hundred twenty-nine".