Search a number
-
+
3001121111220 = 2235181276346327
BaseRepresentation
bin101011101011000000110…
…000011111110010110100
3101121220102021211121220220
4223223000300133302310
5343132244001024340
610214410200454340
7426552402354651
oct53530060376264
911556367747826
103001121111220
11a5784a6a0181
1240577947a3b0
1318a009b92a1b
14a537db6cc28
15530ecd99ed0
hex2bac0c1fcb4

3001121111220 has 48 divisors (see below), whose sum is σ = 8449565324928. Its totient is φ = 795877418880.

The previous prime is 3001121111189. The next prime is 3001121111257. The reversal of 3001121111220 is 221111211003.

3001121111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3001121111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138162304 + ... + 138184023.

It is an arithmetic number, because the mean of its divisors is an integer number (176032610936).

Almost surely, 23001121111220 is an apocalyptic number.

3001121111220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001121111220 is an abundant number, since it is smaller than the sum of its proper divisors (5448444213708).

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

3001121111220 is a wasteful number, since it uses less digits than its factorization.

3001121111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276346520 (or 276346518 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 3001121111220 its reverse (221111211003), we get a palindrome (3222232322223).

The spelling of 3001121111220 in words is "three trillion, one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 276346327 552692654 829038981 1105385308 1381731635 1658077962 2763463270 3316155924 4145194905 5526926540 8290389810 16580779620 50018685187 100037370374 150056055561 200074740748 250093425935 300112111122 500186851870 600224222244 750280277805 1000373703740 1500560555610 3001121111220