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11210010012 = 2233257403877
BaseRepresentation
bin10100111000010101…
…10010110110011100
31001221020121111211000
422130022302312130
5140424230310022
65052205230300
7544536340635
oct123412626634
931836544730
1011210010012
114832838493
12220a262390
1310985a7c26
14784b3a88c
154592246ac
hex29c2b2d9c

11210010012 has 48 divisors (see below), whose sum is σ = 29176146720. Its totient is φ = 3722121216.

The previous prime is 11210009981. The next prime is 11210010107. The reversal of 11210010012 is 21001001211.

It is a happy number.

11210010012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11210009976 and 11210010003.

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, 174183 + ... + 229694.

It is an arithmetic number, because the mean of its divisors is an integer number (607836390).

Almost surely, 211210010012 is an apocalyptic number.

11210010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11210010012 is an abundant number, since it is smaller than the sum of its proper divisors (17966136708).

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

11210010012 is a wasteful number, since it uses less digits than its factorization.

11210010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404147 (or 404139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210010012 its reverse (21001001211), we get a palindrome (32211011223).

It can be divided in two parts, 11 and 210010012, that multiplied together give a palindrome (2310110132).

The spelling of 11210010012 in words is "eleven billion, two hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 27756 403877 807754 1211631 1615508 2423262 3634893 4846524 7269786 10904679 14539572 21809358 43618716 103796389 207592778 311389167 415185556 622778334 934167501 1245556668 1868335002 2802502503 3736670004 5605005006 11210010012