Search a number
-
+
111011100100097 is a prime number
BaseRepresentation
bin11001001111011011001001…
…001100000000011000000001
3112120001120001102202201100112
4121033123021030000120001
5104022301213111200342
61032033443444001105
732245200355541501
oct3117331114003001
9476046042681315
10111011100100097
113240a5a7a5362a
121054a840990195
1349c33c0141862
141d5ad74673a01
15cc79c06dc682
hex64f6c9300601

111011100100097 has 2 divisors, whose sum is σ = 111011100100098. Its totient is φ = 111011100100096.

The previous prime is 111011100100091. The next prime is 111011100100127. The reversal of 111011100100097 is 790001001110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75893908547521 + 35117191552576 = 8711711^2 + 5925976^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011100100097 - 222 = 111011095905793 is a prime.

It is a super-4 number, since 4×1110111001000974 (a number of 57 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (111011100100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505550050048 + 55505550050049.

It is an arithmetic number, because the mean of its divisors is an integer number (55505550050049).

Almost surely, 2111011100100097 is an apocalyptic number.

It is an amenable number.

111011100100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011100100097 is an equidigital number, since it uses as much as digits as its factorization.

111011100100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 23.

The spelling of 111011100100097 in words is "one hundred eleven trillion, eleven billion, one hundred million, one hundred thousand, ninety-seven".