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3001311322112 = 2131033354667
BaseRepresentation
bin101011101011001100000…
…110000110000000000000
3101121220220112202100012202
4223223030012012000000
5343133141144301422
610214441113412332
7426560202211445
oct53531406060000
911556815670182
103001311322112
11a57937aa7464
1240581110a0a8
1318a03a40044c
14a539b1239cc
155310e91db92
hex2bacc186000

3001311322112 has 56 divisors (see below), whose sum is σ = 6008083722696. Its totient is φ = 1499198717952.

The previous prime is 3001311322111. The next prime is 3001311322123. The reversal of 3001311322112 is 2112231131003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001311322111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8285003 + ... + 8639669.

Almost surely, 23001311322112 is an apocalyptic number.

3001311322112 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 3001311322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004041861348).

3001311322112 is an abundant number, since it is smaller than the sum of its proper divisors (3006772400584).

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

3001311322112 is an equidigital number, since it uses as much as digits as its factorization.

3001311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355726 (or 355702 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3001311322112 its reverse (2112231131003), we get a palindrome (5113542453115).

The spelling of 3001311322112 in words is "three trillion, one billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1033 2048 2066 4096 4132 8192 8264 16528 33056 66112 132224 264448 354667 528896 709334 1057792 1418668 2115584 2837336 4231168 5674672 8462336 11349344 22698688 45397376 90794752 181589504 363179008 366371011 726358016 732742022 1452716032 1465484044 2905432064 2930968088 5861936176 11723872352 23447744704 46895489408 93790978816 187581957632 375163915264 750327830528 1500655661056 3001311322112