Search a number
-
+
11355250212 = 22321953595309
BaseRepresentation
bin10101001001101001…
…10101111000100100
31002022100220110220200
422210310311320210
5141223421001322
65114434230500
7551252014515
oct124464657044
932270813820
1011355250212
1148a7819609
12224aa25430
1310bc6cb487
1479a146a0c
15466d638ac
hex2a4d35e24

11355250212 has 144 divisors (see below), whose sum is σ = 31312008000. Its totient is φ = 3457928448.

The previous prime is 11355250211. The next prime is 11355250219. The reversal of 11355250212 is 21205255311.

11355250212 is a `hidden beast` number, since 1 + 135 + 525 + 0 + 2 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11355250211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2136214 + ... + 2141522.

It is an arithmetic number, because the mean of its divisors is an integer number (217444500).

Almost surely, 211355250212 is an apocalyptic number.

11355250212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355250212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15656004000).

11355250212 is an abundant number, since it is smaller than the sum of its proper divisors (19956757788).

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

11355250212 is a wasteful number, since it uses less digits than its factorization.

11355250212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11355250212 in words is "eleven billion, three hundred fifty-five million, two hundred fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 59 76 106 114 118 159 171 177 212 228 236 318 342 354 477 531 636 684 708 954 1007 1062 1121 1908 2014 2124 2242 3021 3127 3363 4028 4484 5309 6042 6254 6726 9063 9381 10089 10618 12084 12508 13452 15927 18126 18762 20178 21236 28143 31854 36252 37524 40356 47781 56286 59413 63708 95562 100871 112572 118826 178239 191124 201742 237652 281377 302613 313231 356478 403484 534717 562754 605226 626462 712956 844131 907839 939693 1069434 1125508 1210452 1252924 1688262 1815678 1879386 2138868 2532393 2819079 3376524 3631356 3758772 5064786 5346163 5638158 5951389 10129572 10692326 11276316 11902778 16038489 16601243 17854167 21384652 23805556 32076978 33202486 35708334 48115467 49803729 53562501 64153956 66404972 71416668 96230934 99607458 107125002 149411187 192461868 199214916 214250004 298822374 315423617 597644748 630847234 946270851 1261694468 1892541702 2838812553 3785083404 5677625106 11355250212