Search a number
-
+
2013223022120 = 235537431278107
BaseRepresentation
bin11101010010111101011…
…100010110111000101000
321010110110222021222021002
4131102331130112320220
5230441040043201440
64140510100134132
7265310354223662
oct35227534267050
97113428258232
102013223022120
11706891a03042
12286214397348
13117accbc120b
146d624ab1532
153757dcd5115
hex1d4bd716e28

2013223022120 has 64 divisors (see below), whose sum is σ = 4621434030720. Its totient is φ = 789031070464.

The previous prime is 2013223022087. The next prime is 2013223022131. The reversal of 2013223022120 is 212203223102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2013223022092 and 2013223022101.

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, 936107 + ... + 2214213.

It is an arithmetic number, because the mean of its divisors is an integer number (72209906730).

Almost surely, 22013223022120 is an apocalyptic number.

2013223022120 is a gapful number since it is divisible by the number (20) 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 2013223022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310717015360).

2013223022120 is an abundant number, since it is smaller than the sum of its proper divisors (2608211008600).

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

2013223022120 is a wasteful number, since it uses less digits than its factorization.

2013223022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278914 (or 1278910 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2013223022120 its reverse (212203223102), we get a palindrome (2225426245222).

The spelling of 2013223022120 in words is "two trillion, thirteen billion, two hundred twenty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 743 1060 1486 2120 2972 3715 5944 7430 14860 29720 39379 78758 157516 196895 315032 393790 787580 1278107 1575160 2556214 5112428 6390535 10224856 12781070 25562140 51124280 67739671 135479342 270958684 338698355 541917368 677396710 949633501 1354793420 1899267002 2709586840 3798534004 4748167505 7597068008 9496335010 18992670020 37985340040 50330575553 100661151106 201322302212 251652877765 402644604424 503305755530 1006611511060 2013223022120