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1009191929197 is a prime number
BaseRepresentation
bin11101010111110001000…
…01101100010101101101
310120110220022122210212011
432223320201230111231
5113013311113213242
62051341045241221
7132624500601304
oct16537041542555
93513808583764
101009191929197
11359aa55973a1
12143708403211
13742217386ba
1436bb913d43b
151b3b8705d17
hexeaf886c56d

1009191929197 has 2 divisors, whose sum is σ = 1009191929198. Its totient is φ = 1009191929196.

The previous prime is 1009191929183. The next prime is 1009191929201. The reversal of 1009191929197 is 7919291919001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 767225335396 + 241966593801 = 875914^2 + 491901^2 .

It is an emirp because it is prime and its reverse (7919291919001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1009191929197 - 215 = 1009191896429 is a prime.

It is a super-2 number, since 2×10091919291972 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009191929117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504595964598 + 504595964599.

It is an arithmetic number, because the mean of its divisors is an integer number (504595964599).

Almost surely, 21009191929197 is an apocalyptic number.

It is an amenable number.

1009191929197 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009191929197 is an equidigital number, since it uses as much as digits as its factorization.

1009191929197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 826686, while the sum is 58.

The spelling of 1009191929197 in words is "one trillion, nine billion, one hundred ninety-one million, nine hundred twenty-nine thousand, one hundred ninety-seven".