Search a number
-
+
11202111102 = 2371341836029
BaseRepresentation
bin10100110111011001…
…01010011001111110
31001220200202012112210
422123230222121332
5140420220023402
65051324041250
7544412242020
oct123354523176
931820665483
1011202111102
114829332966
122207693226
131096a70810
14783a82010
154586b406c
hex29bb2a67e

11202111102 has 128 divisors (see below), whose sum is σ = 28592040960. Its totient is φ = 2847144960.

The previous prime is 11202111071. The next prime is 11202111103. The reversal of 11202111102 is 20111120211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202111103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1855024 + ... + 1861052.

It is an arithmetic number, because the mean of its divisors is an integer number (223375320).

Almost surely, 211202111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296020480).

11202111102 is an abundant number, since it is smaller than the sum of its proper divisors (17389929858).

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

11202111102 is a wasteful number, since it uses less digits than its factorization.

11202111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11202111102 its reverse (20111120211), we get a palindrome (31313231313).

The spelling of 11202111102 in words is "eleven billion, two hundred two million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 83 91 123 166 182 246 249 273 287 498 533 546 574 581 861 1066 1079 1162 1599 1722 1743 2158 3198 3237 3403 3486 3731 6029 6474 6806 7462 7553 10209 11193 12058 15106 18087 20418 22386 22659 23821 36174 42203 44239 45318 47642 71463 78377 84406 88478 126609 132717 142926 156754 235131 247189 253218 265434 309673 470262 494378 500407 548639 619346 741567 929019 1000814 1097278 1483134 1501221 1645917 1730323 1858038 3002442 3213457 3291834 3460646 3502849 5190969 6426914 6505291 7005698 9640371 10381938 10508547 13010582 19280742 19515873 20516687 21017094 22494199 39031746 41033374 44988398 45537037 61550061 67482597 91074074 123100122 134965194 136611111 143616809 266716931 273222222 287233618 430850427 533433862 800150793 861700854 1600301586 1867018517 3734037034 5601055551 11202111102