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2300013120104 = 2371132417150379
BaseRepresentation
bin100001011110000011011…
…101110000101001101000
322010212201212110110002222
4201132003131300221220
5300140411324320404
64520340023213212
7325112316643430
oct41360335605150
98125655413088
102300013120104
11807480499447
123119118a7208
13138b76007a4b
147d46d6492c0
153ec668cddbe
hex21783770a68

2300013120104 has 64 divisors (see below), whose sum is σ = 4974305731200. Its totient is φ = 976586010624.

The previous prime is 2300013120059. The next prime is 2300013120113. The reversal of 2300013120104 is 4010213100032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15219587 + ... + 15369965.

It is an arithmetic number, because the mean of its divisors is an integer number (77723527050).

Almost surely, 22300013120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300013120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487152865600).

2300013120104 is an abundant number, since it is smaller than the sum of its proper divisors (2674292611096).

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

2300013120104 is a wasteful number, since it uses less digits than its factorization.

2300013120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152922 (or 152918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2300013120104 its reverse (4010213100032), we get a palindrome (6310226220136).

The spelling of 2300013120104 in words is "two trillion, three hundred billion, thirteen million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 2417 3164 4834 6328 9668 16919 19336 33838 67676 135352 150379 273121 300758 546242 601516 1052653 1092484 1203032 1911847 2105306 2184968 3823694 4210612 7647388 8421224 15294776 16992827 33985654 67971308 118949789 135942616 237899578 363466043 475799156 726932086 951598312 1453864172 2544262301 2907728344 5088524602 10177049204 20354098408 41071662859 82143325718 164286651436 287501640013 328573302872 575003280026 1150006560052 2300013120104