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102640200511 = 29131181149269
BaseRepresentation
bin101111110010111010…
…1010010101100111111
3100210221011122102110211
41133211311102230333
53140201342404021
6115052515413251
710262343211042
oct1374565225477
9323834572424
10102640200511
113a5907988a2
1217a85bb4227
1398a97b9574
144d79968c59
152a0ae0b3e1
hex17e5d52b3f

102640200511 has 16 divisors (see below), whose sum is σ = 107581874400. Its totient is φ = 97800393600.

The previous prime is 102640200451. The next prime is 102640200529. The reversal of 102640200511 is 115002046201.

It is a cyclic number.

It is not a de Polignac number, because 102640200511 - 229 = 102103329599 is a prime.

It is a super-2 number, since 2×1026402005112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102640200571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612985 + ... + 762253.

It is an arithmetic number, because the mean of its divisors is an integer number (6723867150).

Almost surely, 2102640200511 is an apocalyptic number.

102640200511 is a deficient number, since it is larger than the sum of its proper divisors (4941673889).

102640200511 is a wasteful number, since it uses less digits than its factorization.

102640200511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149610.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 102640200511 its reverse (115002046201), we get a palindrome (217642246712).

The spelling of 102640200511 in words is "one hundred two billion, six hundred forty million, two hundred thousand, five hundred eleven".

Divisors: 1 29 131 181 3799 5249 23711 149269 687619 4328801 19554239 27017689 567072931 783512981 3539317259 102640200511