Search a number
-
+
2001122002012 = 227593473490873
BaseRepresentation
bin11101000111101100001…
…010101000010001011100
321002022020122002110101011
4131013230022220101130
5230241244213031022
64131145221225004
7264401445235660
oct35075412502134
97068218073334
102001122002012
11701742223581
122839b7862164
13116921b497a3
146cbd78b88a0
15370c175c977
hex1d1ec2a845c

2001122002012 has 48 divisors (see below), whose sum is σ = 4081809150720. Its totient is φ = 840657831552.

The previous prime is 2001122001979. The next prime is 2001122002049. The reversal of 2001122002012 is 2102002211002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001122001983 and 2001122002001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1172193 + ... + 2318680.

It is an arithmetic number, because the mean of its divisors is an integer number (85037690640).

Almost surely, 22001122002012 is an apocalyptic number.

It is an amenable number.

2001122002012 is an abundant number, since it is smaller than the sum of its proper divisors (2080687148708).

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

2001122002012 is a wasteful number, since it uses less digits than its factorization.

2001122002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491290 (or 3491288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2001122002012 its reverse (2102002211002), we get a palindrome (4103124213014).

The spelling of 2001122002012 in words is "two trillion, one billion, one hundred twenty-two million, two thousand, twelve".

Divisors: 1 2 4 7 14 28 59 118 236 347 413 694 826 1388 1652 2429 4858 9716 20473 40946 81892 143311 286622 573244 3490873 6981746 13963492 24436111 48872222 97744444 205961507 411923014 823846028 1211332931 1441730549 2422665862 2883461098 4845331724 5766922196 8479330517 16958661034 33917322068 71468642929 142937285858 285874571716 500280500503 1000561001006 2001122002012