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11021434004 = 2277313141161
BaseRepresentation
bin10100100001110110…
…11011110010010100
31001110002202212011102
422100323123302110
5140032441342004
65021351325232
7540056433440
oct122073336224
931402685142
1011021434004
114746348549
122177080818
1310684c06a9
14767a8d820
154478c511e
hex290edbc94

11021434004 has 48 divisors (see below), whose sum is σ = 22515943296. Its totient is φ = 4623091200.

The previous prime is 11021433971. The next prime is 11021434043. The reversal of 11021434004 is 40043412011.

11021434004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247184 + ... + 288344.

It is an arithmetic number, because the mean of its divisors is an integer number (469082152).

Almost surely, 211021434004 is an apocalyptic number.

11021434004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11021434004 is an abundant number, since it is smaller than the sum of its proper divisors (11494509292).

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

11021434004 is a wasteful number, since it uses less digits than its factorization.

11021434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41376 (or 41374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11021434004 its reverse (40043412011), we get a palindrome (51064846015).

The spelling of 11021434004 in words is "eleven billion, twenty-one million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 73 131 146 262 292 511 524 917 1022 1834 2044 3668 9563 19126 38252 41161 66941 82322 133882 164644 267764 288127 576254 1152508 3004753 5392091 6009506 10784182 12019012 21033271 21568364 37744637 42066542 75489274 84133084 150978548 393622643 787245286 1574490572 2755358501 5510717002 11021434004