Search a number
-
+
10112123233153 is a prime number
BaseRepresentation
bin1001001100100110100110…
…0000110110001110000001
31022210201011020212122112101
42103021221200312032001
52311134112021430103
633301240103030401
72062401561165004
oct223115140661601
938721136778471
1010112123233153
113249588a40677
12117396973b401
135847524b91b6
1426d6022c953b
1512808d641a1d
hex93269836381

10112123233153 has 2 divisors, whose sum is σ = 10112123233154. Its totient is φ = 10112123233152.

The previous prime is 10112123233103. The next prime is 10112123233229. The reversal of 10112123233153 is 35133232121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10015655221504 + 96468011649 = 3164752^2 + 310593^2 .

It is an emirp because it is prime and its reverse (35133232121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112123233153 - 29 = 10112123232641 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112123233103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056061616576 + 5056061616577.

It is an arithmetic number, because the mean of its divisors is an integer number (5056061616577).

Almost surely, 210112123233153 is an apocalyptic number.

It is an amenable number.

10112123233153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112123233153 is an equidigital number, since it uses as much as digits as its factorization.

10112123233153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 10112123233153 its reverse (35133232121101), we get a palindrome (45245355354254).

The spelling of 10112123233153 in words is "ten trillion, one hundred twelve billion, one hundred twenty-three million, two hundred thirty-three thousand, one hundred fifty-three".