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11007647129 is a prime number
BaseRepresentation
bin10100100000001101…
…10101110110011001
31001102010211102010102
422100012311312121
5140020424202004
65020140025145
7536531312453
oct122006656631
931363742112
1011007647129
114739591236
1221725321b5
1310656a428b
14765d012d3
154465a011e
hex2901b5d99

11007647129 has 2 divisors, whose sum is σ = 11007647130. Its totient is φ = 11007647128.

The previous prime is 11007647111. The next prime is 11007647143. The reversal of 11007647129 is 92174670011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9051619600 + 1956027529 = 95140^2 + 44227^2 .

It is a cyclic number.

It is not a de Polignac number, because 11007647129 - 232 = 6712679833 is a prime.

It is a super-3 number, since 3×110076471293 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11007647092 and 11007647101.

It is not a weakly prime, because it can be changed into another prime (11007647429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503823564 + 5503823565.

It is an arithmetic number, because the mean of its divisors is an integer number (5503823565).

Almost surely, 211007647129 is an apocalyptic number.

It is an amenable number.

11007647129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11007647129 is an equidigital number, since it uses as much as digits as its factorization.

11007647129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 11007647129 in words is "eleven billion, seven million, six hundred forty-seven thousand, one hundred twenty-nine".