Search a number
-
+
2003011330122 = 2321176913155031
BaseRepresentation
bin11101001001011100110…
…001110110000001001010
321002111010022012021022100
4131021130301312001022
5230304131400030442
64132100512134230
7264466326250125
oct35113461660112
97074108167270
102003011330122
1170252174a770
12284244537376
13116b633b4a0a
146cd367a53bc
153718255d84c
hex1d25cc7604a

2003011330122 has 48 divisors (see below), whose sum is σ = 4740547331520. Its totient is φ = 606183782400.

The previous prime is 2003011330109. The next prime is 2003011330123. The reversal of 2003011330122 is 2210331103002.

2003011330122 is a `hidden beast` number, since 20 + 0 + 301 + 1 + 330 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003011330095 and 2003011330104.

It is not an unprimeable number, because it can be changed into a prime (2003011330123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6425254 + ... + 6729777.

It is an arithmetic number, because the mean of its divisors is an integer number (98761402740).

Almost surely, 22003011330122 is an apocalyptic number.

2003011330122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2003011330122 is an abundant number, since it is smaller than the sum of its proper divisors (2737536001398).

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

2003011330122 is a wasteful number, since it uses less digits than its factorization.

2003011330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155819 (or 13155816 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003011330122 its reverse (2210331103002), we get a palindrome (4213342433124).

The spelling of 2003011330122 in words is "two trillion, three billion, eleven million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 769 1538 2307 4614 6921 8459 13842 16918 25377 50754 76131 152262 13155031 26310062 39465093 78930186 118395279 144705341 236790558 289410682 434116023 868232046 1302348069 2604696138 10116218839 20232437678 30348656517 60697313034 91045969551 111278407229 182091939102 222556814458 333835221687 667670443374 1001505665061 2003011330122