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10011011312 = 241237505811
BaseRepresentation
bin10010101001011001…
…11110100011110000
3221211200111001210202
421110230332203300
5131000304330222
64333214414332
7503040122621
oct112454764360
927750431722
1010011011312
114277a55a75
121b348013a8
13c37074443
146ad7cba48
153d8d35892
hex254b3e8f0

10011011312 has 20 divisors (see below), whose sum is σ = 19412052936. Its totient is φ = 5001449280.

The previous prime is 10011011273. The next prime is 10011011333. The reversal of 10011011312 is 21311011001.

It is a happy number.

10011011312 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 2×100110113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011011293 and 10011011302.

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 3 ways as a sum of consecutive naturals, for example, 233114 + ... + 272697.

Almost surely, 210011011312 is an apocalyptic number.

It is an amenable number.

10011011312 is a deficient number, since it is larger than the sum of its proper divisors (9401041624).

10011011312 is a wasteful number, since it uses less digits than its factorization.

10011011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507056 (or 507050 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011011312 its reverse (21311011001), we get a palindrome (31322022313).

The spelling of 10011011312 in words is "ten billion, eleven million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 1237 2474 4948 9896 19792 505811 1011622 2023244 4046488 8092976 625688207 1251376414 2502752828 5005505656 10011011312