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11142114012 = 22322910672523
BaseRepresentation
bin10100110000001111…
…10010101011011100
31001202111212001000100
422120013302223130
5140304340122022
65041342101100
7543053256261
oct123007625334
931674761010
1011142114012
1147a8484197
1221ab57a790
1310874c4c93
14779b05268
154532b21ac
hex2981f2adc

11142114012 has 36 divisors (see below), whose sum is σ = 29135990520. Its totient is φ = 3585967392.

The previous prime is 11142113981. The next prime is 11142114019. The reversal of 11142114012 is 21041124111.

11142114012 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 (36).

It is a super-2 number, since 2×111421140122 (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 (11142114019) 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 11 ways as a sum of consecutive naturals, for example, 5335218 + ... + 5337305.

It is an arithmetic number, because the mean of its divisors is an integer number (809333070).

Almost surely, 211142114012 is an apocalyptic number.

11142114012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11142114012 is an abundant number, since it is smaller than the sum of its proper divisors (17993876508).

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

11142114012 is a wasteful number, since it uses less digits than its factorization.

11142114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672562 (or 10672557 counting only the distinct ones).

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

Adding to 11142114012 its reverse (21041124111), we get a palindrome (32183238123).

The spelling of 11142114012 in words is "eleven billion, one hundred forty-two million, one hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10672523 21345046 32017569 42690092 64035138 96052707 128070276 192105414 309503167 384210828 619006334 928509501 1238012668 1857019002 2785528503 3714038004 5571057006 11142114012