Search a number
-
+
2001331002 = 231146165777
BaseRepresentation
bin111011101001001…
…1110001100111010
312011110212011000110
41313102132030322
513044320043002
6530331245150
7100411014156
oct16722361472
95143764013
102001331002
11937776670
1247a2a97b6
1325b822138
1414db24066
15baa76e6c
hex7749e33a

2001331002 has 32 divisors (see below), whose sum is σ = 4376078784. Its totient is φ = 605139200.

The previous prime is 2001330997. The next prime is 2001331019.

It is a happy number.

2001331002 is nontrivially palindromic in base 10.

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, 2463 + ... + 63314.

It is an arithmetic number, because the mean of its divisors is an integer number (136752462).

Almost surely, 22001331002 is an apocalyptic number.

2001331002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2001331002 is an abundant number, since it is smaller than the sum of its proper divisors (2374747782).

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

2001331002 is a wasteful number, since it uses less digits than its factorization.

2001331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66254.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001331002 is about 44736.2381297310. The cubic root of 2001331002 is about 1260.2004808231.

It can be divided in two parts, 20013 and 31002, that added together give a palindrome (51015).

The spelling of 2001331002 in words is "two billion, one million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 461 922 1383 2766 5071 10142 15213 30426 65777 131554 197331 394662 723547 1447094 2170641 4341282 30323197 60646394 90969591 181939182 333555167 667110334 1000665501 2001331002