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11014141212 = 2235614312
BaseRepresentation
bin10100100000111111…
…00111010100011100
31001102121001100100000
422100133213110130
5140024110004322
65020531134300
7536640440604
oct122037472434
931377040300
1011014141212
114742217348
122174744390
131066b39129
14766b11c04
15446e343ac
hex2907e751c

11014141212 has 108 divisors (see below), whose sum is σ = 29414025368. Its totient is φ = 3602815200.

The previous prime is 11014141199. The next prime is 11014141219. The reversal of 11014141212 is 21214141011.

11014141212 is a `hidden beast` number, since 110 + 141 + 412 + 1 + 2 = 666.

11014141212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×110141412122 (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 (11014141219) 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 35 ways as a sum of consecutive naturals, for example, 25554637 + ... + 25555067.

Almost surely, 211014141212 is an apocalyptic number.

11014141212 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 11014141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707012684).

11014141212 is an abundant number, since it is smaller than the sum of its proper divisors (18399884156).

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

11014141212 is an frugal number, since it uses more digits than its factorization.

11014141212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11014141212 its reverse (21214141011), we get a palindrome (32228282223).

The spelling of 11014141212 in words is "eleven billion, fourteen million, one hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 431 486 549 732 862 972 1098 1293 1647 1724 2196 2586 3294 3879 4941 5172 6588 7758 9882 11637 14823 15516 19764 23274 26291 29646 34911 46548 52582 59292 69822 78873 104733 105164 139644 157746 185761 209466 236619 315492 371522 418932 473238 557283 709857 743044 946476 1114566 1419714 1671849 2129571 2229132 2839428 3343698 4259142 5015547 6388713 6687396 8518284 10031094 11331421 12777426 15046641 20062188 22662842 25554852 30093282 33994263 45139923 45325684 60186564 67988526 90279846 101982789 135977052 180559692 203965578 305948367 407931156 611896734 917845101 1223793468 1835690202 2753535303 3671380404 5507070606 11014141212