Search a number
-
+
310121121018 = 23532773520663
BaseRepresentation
bin1001000001101001010…
…10001100010011111010
31002122110212121020200010
410200310222030103322
520040112001333033
6354245003522350
731256043014652
oct4406452142372
91078425536603
10310121121018
1110a581319325
125012ab293b6
1323323946307
141101d3d3362
158100ee4863
hex4834a8c4fa

310121121018 has 32 divisors (see below), whose sum is σ = 634226495616. Its totient is φ = 101057082048.

The previous prime is 310121120927. The next prime is 310121121019. The reversal of 310121121018 is 810121121013.

310121121018 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3101211210182 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310121120985 and 310121121003.

It is not an unprimeable number, because it can be changed into a prime (310121121019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1672246 + ... + 1848417.

It is an arithmetic number, because the mean of its divisors is an integer number (19819577988).

Almost surely, 2310121121018 is an apocalyptic number.

310121121018 is an abundant number, since it is smaller than the sum of its proper divisors (324105374598).

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

310121121018 is a wasteful number, since it uses less digits than its factorization.

310121121018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520998.

The product of its (nonzero) digits is 96, while the sum is 21.

The spelling of 310121121018 in words is "three hundred ten billion, one hundred twenty-one million, one hundred twenty-one thousand, eighteen".

Divisors: 1 2 3 6 53 106 159 277 318 554 831 1662 14681 29362 44043 88086 3520663 7041326 10561989 21123978 186595139 373190278 559785417 975223651 1119570834 1950447302 2925670953 5851341906 51686853503 103373707006 155060560509 310121121018