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3110010112 = 28112938083
BaseRepresentation
bin1011100101011110…
…1111110100000000
322000202000212211201
42321113233310000
522332130310422
61232334150544
7140032435606
oct27127576400
98022025751
103110010112
1113565796a0
12729652454
133a7421391
14217081876
15133074727
hexb95efd00

3110010112 has 72 divisors (see below), whose sum is σ = 7005932640. Its totient is φ = 1364858880.

The previous prime is 3110010109. The next prime is 3110010121. The reversal of 3110010112 is 2110100113.

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 7 ways as a sum of consecutive naturals, for example, 62623 + ... + 100705.

It is an arithmetic number, because the mean of its divisors is an integer number (97304620).

Almost surely, 23110010112 is an apocalyptic number.

3110010112 is a gapful number since it is divisible by the number (32) 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 3110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502966320).

3110010112 is an abundant number, since it is smaller than the sum of its proper divisors (3895922528).

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

3110010112 is a wasteful number, since it uses less digits than its factorization.

3110010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38139 (or 38125 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 3110010112 is about 55767.4646366499. The cubic root of 3110010112 is about 1459.6674841675.

Adding to 3110010112 its reverse (2110100113), we get a palindrome (5220110225).

Subtracting from 3110010112 its reverse (2110100113), we obtain a palindrome (999909999).

It can be divided in two parts, 31100101 and 12, that added together give a palindrome (31100113).

The spelling of 3110010112 in words is "three billion, one hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 638 704 928 1276 1408 1856 2552 2816 3712 5104 7424 10208 20416 38083 40832 76166 81664 152332 304664 418913 609328 837826 1104407 1218656 1675652 2208814 2437312 3351304 4417628 4874624 6702608 8835256 9749248 12148477 13405216 17670512 24296954 26810432 35341024 48593908 53620864 70682048 97187816 107241728 141364096 194375632 282728192 388751264 777502528 1555005056 3110010112