Search a number
-
+
10132210113281 is a prime number
BaseRepresentation
bin1001001101110001011011…
…0010001101101100000001
31022212122000010212212220122
42103130112302031230001
52312001231242111111
633314401214350025
72064012416641514
oct223342662155401
938778003785818
1010132210113281
11325705650aa53
1211778347bb315
13586603b92999
14270589d48d7b
15128866d1ecdb
hex93716c8db01

10132210113281 has 2 divisors, whose sum is σ = 10132210113282. Its totient is φ = 10132210113280.

The previous prime is 10132210113269. The next prime is 10132210113287. The reversal of 10132210113281 is 18231101223101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9838316018881 + 293894094400 = 3136609^2 + 542120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10132210113281 - 242 = 5734163602177 is a prime.

It is a super-3 number, since 3×101322101132813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10132210113281.

It is not a weakly prime, because it can be changed into another prime (10132210113287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066105056640 + 5066105056641.

It is an arithmetic number, because the mean of its divisors is an integer number (5066105056641).

Almost surely, 210132210113281 is an apocalyptic number.

It is an amenable number.

10132210113281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132210113281 is an equidigital number, since it uses as much as digits as its factorization.

10132210113281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 10132210113281 its reverse (18231101223101), we get a palindrome (28363311336382).

The spelling of 10132210113281 in words is "ten trillion, one hundred thirty-two billion, two hundred ten million, one hundred thirteen thousand, two hundred eighty-one".