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301121113312 = 25192044124229
BaseRepresentation
bin1000110000111000011…
…01111000110011100000
31001210020122111111002101
410120130031320303200
514413144001111222
6350155542300144
730520030142305
oct4303415706340
91053218444071
10301121113312
11106783022328
124a438a27654
132251b192676
1410807db90ac
157c75d15927
hex461c378ce0

301121113312 has 48 divisors (see below), whose sum is σ = 624090171600. Its totient is φ = 142623452160.

The previous prime is 301121113303. The next prime is 301121113333. The reversal of 301121113312 is 213311121103.

It is a super-3 number, since 3×3011211133123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 301121113312.

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, 12416014 + ... + 12440242.

It is an arithmetic number, because the mean of its divisors is an integer number (13001878575).

Almost surely, 2301121113312 is an apocalyptic number.

301121113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301121113312 is an abundant number, since it is smaller than the sum of its proper divisors (322969058288).

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

301121113312 is a wasteful number, since it uses less digits than its factorization.

301121113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44699 (or 44691 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 301121113312 its reverse (213311121103), we get a palindrome (514432234415).

The spelling of 301121113312 in words is "three hundred one billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 20441 24229 40882 48458 81764 96916 163528 193832 327056 387664 388379 460351 654112 775328 776758 920702 1553516 1841404 3107032 3682808 6214064 7365616 12428128 14731232 495264989 990529978 1981059956 3962119912 7924239824 9410034791 15848479648 18820069582 37640139164 75280278328 150560556656 301121113312