Search a number
-
+
2012220031120 = 245132384122911
BaseRepresentation
bin11101010010000001101…
…010010000000010010000
321010100220001222202021021
4131102001222100002100
5230432011311443440
64140222350405224
7265243455024655
oct35220152200220
97110801882237
102012220031120
11706417827062
12285b94500814
131179a0177810
146d56b7c5c2c
1537520c1284a
hex1d481a90090

2012220031120 has 80 divisors (see below), whose sum is σ = 5257345508352. Its totient is φ = 710670343680.

The previous prime is 2012220031057. The next prime is 2012220031127. The reversal of 2012220031120 is 211300222102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2012220031094 and 2012220031103.

It is not an unprimeable number, because it can be changed into a prime (2012220031127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42037536 + ... + 42085375.

Almost surely, 22012220031120 is an apocalyptic number.

2012220031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012220031120 is an abundant number, since it is smaller than the sum of its proper divisors (3245125477232).

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

2012220031120 is a wasteful number, since it uses less digits than its factorization.

2012220031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84122960 (or 84122954 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2012220031120 its reverse (211300222102), we get a palindrome (2223520253222).

The spelling of 2012220031120 in words is "two trillion, twelve billion, two hundred twenty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 84122911 168245822 336491644 420614555 672983288 841229110 1093597843 1345966576 1682458220 1934826953 2187195686 3364916440 3869653906 4374391372 5467989215 6729832880 7739307812 8748782744 9674134765 10935978430 15478615624 17497565488 19348269530 21871956860 25152750389 30957231248 38696539060 43743913720 50305500778 77393078120 87487827440 100611001556 125763751945 154786156240 201222003112 251527503890 402444006224 503055007780 1006110015560 2012220031120