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11050211214 = 2337291079421
BaseRepresentation
bin10100100101010010…
…01101011110001110
31001112002220220002000
422102221031132032
5140112323224324
65024300213130
7540556150140
oct122251153616
931462826060
1011050211214
114760613269
12218483a1a6
131071457c23
1476b820c90
1544a1ab9c9
hex292a4d78e

11050211214 has 128 divisors (see below), whose sum is σ = 29306188800. Its totient is φ = 3019524480.

The previous prime is 11050211213. The next prime is 11050211231. The reversal of 11050211214 is 41211205011.

11050211214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110502112142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11050211213) 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 63 ways as a sum of consecutive naturals, for example, 1168224 + ... + 1177644.

It is an arithmetic number, because the mean of its divisors is an integer number (228954600).

Almost surely, 211050211214 is an apocalyptic number.

11050211214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050211214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653094400).

11050211214 is an abundant number, since it is smaller than the sum of its proper divisors (18255977586).

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

11050211214 is a wasteful number, since it uses less digits than its factorization.

11050211214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11050211214 its reverse (41211205011), we get a palindrome (52261416225).

The spelling of 11050211214 in words is "eleven billion, fifty million, two hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 107 126 174 189 203 214 261 321 378 406 522 609 642 749 783 963 1218 1498 1566 1827 1926 2247 2889 3103 3654 4494 5481 5778 6206 6741 9309 9421 10962 13482 18618 18842 20223 21721 27927 28263 40446 43442 55854 56526 65163 65947 83781 84789 130326 131894 167562 169578 195489 197841 254367 273209 390978 395682 508734 546418 586467 593523 819627 1008047 1172934 1187046 1639254 1780569 1912463 2016094 2458881 3024141 3561138 3824926 4917762 5737389 6048282 7056329 7376643 9072423 11474778 14112658 14753286 17212167 18144846 21168987 27217269 29233363 34424334 42337974 51636501 54434538 58466726 63506961 87700089 103273002 127013922 175400178 190520883 204633541 263100267 381041766 409267082 526200534 613900623 789300801 1227801246 1578601602 1841701869 3683403738 5525105607 11050211214