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11401300206 = 23317113131839
BaseRepresentation
bin10101001111001001…
…00000100011101110
31002102120120001122000
422213210200203232
5141322213101311
65123201233130
7552351311202
oct124744404356
932376501560
1011401300206
11492081165a
1222623327a6
1310c91029aa
147a22d2b02
1546ae0d056
hex2a79208ee

11401300206 has 128 divisors (see below), whose sum is σ = 27303091200. Its totient is φ = 3513968640.

The previous prime is 11401300147. The next prime is 11401300283. The reversal of 11401300206 is 60200310411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13588735 + ... + 13589573.

It is an arithmetic number, because the mean of its divisors is an integer number (213305400).

Almost surely, 211401300206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401300206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651545600).

11401300206 is an abundant number, since it is smaller than the sum of its proper divisors (15901790994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11401300206 is a wasteful number, since it uses less digits than its factorization.

11401300206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11401300206 its reverse (60200310411), we get a palindrome (71601610617).

The spelling of 11401300206 in words is "eleven billion, four hundred one million, three hundred thousand, two hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 131 153 226 262 306 339 393 459 678 786 839 918 1017 1179 1678 1921 2034 2227 2358 2517 3051 3537 3842 4454 5034 5763 6102 6681 7074 7551 11526 13362 14263 14803 15102 17289 20043 22653 28526 29606 34578 40086 42789 44409 45306 51867 60129 85578 88818 94807 103734 109909 120258 128367 133227 189614 219818 251651 256734 266454 284421 329727 385101 399681 503302 568842 659454 754953 770202 799362 853263 989181 1509906 1611719 1706526 1868453 1978362 2264859 2559789 2967543 3223438 3736906 4529718 4835157 5119578 5605359 5935086 6794577 9670314 11210718 12419717 13589154 14505471 16816077 24839434 29010942 33632154 37259151 43516413 50448231 74518302 87032826 100896462 111777453 211135189 223554906 335332359 422270378 633405567 670664718 1266811134 1900216701 3800433402 5700650103 11401300206