Search a number
-
+
1107637744153 is a prime number
BaseRepresentation
bin10000000111100100010…
…110101011001000011001
310220220000011211101000211
4100013210112223020121
5121121420230303103
62204501452531121
7143011203324133
oct20074426531031
93826004741024
101107637744153
113978236a3246
1215a801780aa1
13805b0263905
143b8779d4053
151dc2b29136d
hex101e45ab219

1107637744153 has 2 divisors, whose sum is σ = 1107637744154. Its totient is φ = 1107637744152.

The previous prime is 1107637744151. The next prime is 1107637744231. The reversal of 1107637744153 is 3514477367011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 932715555984 + 174922188169 = 965772^2 + 418237^2 .

It is a cyclic number.

It is not a de Polignac number, because 1107637744153 - 21 = 1107637744151 is a prime.

It is a super-2 number, since 2×11076377441532 (a number of 25 digits) contains 22 as substring.

Together with 1107637744151, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1107637744097 and 1107637744106.

It is not a weakly prime, because it can be changed into another prime (1107637744151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 553818872076 + 553818872077.

It is an arithmetic number, because the mean of its divisors is an integer number (553818872077).

Almost surely, 21107637744153 is an apocalyptic number.

It is an amenable number.

1107637744153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1107637744153 is an equidigital number, since it uses as much as digits as its factorization.

1107637744153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 1107637744153 in words is "one trillion, one hundred seven billion, six hundred thirty-seven million, seven hundred forty-four thousand, one hundred fifty-three".