Search a number
-
+
11001015567157 = 7112312163510709
BaseRepresentation
bin1010000000010101111110…
…1000000000001100110101
31102221200112200121211112211
42200011133220000030311
52420220034441122112
635221444034413421
72213540264311450
oct240053750001465
942850480554484
1011001015567157
113561560545610
1212980a1a31271
1361a511951a75
142a06483b6497
151412659130a7
hexa015fa00335

11001015567157 has 32 divisors (see below), whose sum is σ = 14313084917760. Its totient is φ = 8198824518720.

The previous prime is 11001015567151. The next prime is 11001015567163. The reversal of 11001015567157 is 75176551010011.

It is an interprime number because it is at equal distance from previous prime (11001015567151) and next prime (11001015567163).

It is not a de Polignac number, because 11001015567157 - 23 = 11001015567149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001015567151) 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 in 31 ways as a sum of consecutive naturals, for example, 21285319 + ... + 21796027.

It is an arithmetic number, because the mean of its divisors is an integer number (447283903680).

Almost surely, 211001015567157 is an apocalyptic number.

It is an amenable number.

11001015567157 is a deficient number, since it is larger than the sum of its proper divisors (3312069350603).

11001015567157 is a wasteful number, since it uses less digits than its factorization.

11001015567157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522913.

The product of its (nonzero) digits is 36750, while the sum is 40.

Adding to 11001015567157 its reverse (75176551010011), we get a palindrome (86177566577168).

The spelling of 11001015567157 in words is "eleven trillion, one billion, fifteen million, five hundred sixty-seven thousand, one hundred fifty-seven".

Divisors: 1 7 11 23 77 161 253 1771 12163 85141 133793 279749 510709 936551 1958243 3077239 3574963 5617799 11746307 21540673 39324593 82224149 129209377 904465639 6211753567 43482274969 68329289237 142870332041 478305024659 1000092324287 1571573652451 11001015567157