Search a number
-
+
2010111221000 = 23534994028279
BaseRepresentation
bin11101010000000011111…
…101110001110100001000
321010011110002220002121202
4131100003331301310020
5230413201433033000
64135233215323332
7265140300315341
oct35200375616410
97104402802552
102010111221000
11705535420883
122856a6220548
131177252c388c
146d40b6c50c8
153744aa09dd5
hex1d403f71d08

2010111221000 has 64 divisors (see below), whose sum is σ = 4713087600000. Its totient is φ = 802432977600.

The previous prime is 2010111220927. The next prime is 2010111221009. The reversal of 2010111221000 is 1221110102.

It is a super-2 number, since 2×20101112210002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2010111221009) 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 15 ways as a sum of consecutive naturals, for example, 1515140 + ... + 2513139.

It is an arithmetic number, because the mean of its divisors is an integer number (73641993750).

Almost surely, 22010111221000 is an apocalyptic number.

2010111221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010111221000 is an abundant number, since it is smaller than the sum of its proper divisors (2702976379000).

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

2010111221000 is a wasteful number, since it uses less digits than its factorization.

2010111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028799 (or 4028785 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2010111221000 its reverse (1221110102), we get a palindrome (2011332331102).

The spelling of 2010111221000 in words is "two trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 499 500 998 1000 1996 2495 3992 4990 9980 12475 19960 24950 49900 62375 99800 124750 249500 499000 4028279 8056558 16113116 20141395 32226232 40282790 80565580 100706975 161131160 201413950 402827900 503534875 805655800 1007069750 2010111221 2014139500 4020222442 4028279000 8040444884 10050556105 16080889768 20101112210 40202224420 50252780525 80404448840 100505561050 201011122100 251263902625 402022244200 502527805250 1005055610500 2010111221000