Search a number
-
+
2012011120020 = 22351115187200731
BaseRepresentation
bin11101010001110101001…
…101010100010110010100
321010100100111212222010010
4131101311031110112110
5230431044321320040
64140145525000220
7265235340224466
oct35216515242624
97110314788103
102012011120020
1170631a908060
12285b36553070
13117968ac0495
146d54bb64136
153750c6e7e80
hex1d475354594

2012011120020 has 96 divisors (see below), whose sum is σ = 6146214713856. Its totient is φ = 487725724800.

The previous prime is 2012011119967. The next prime is 2012011120061. The reversal of 2012011120020 is 200211102102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012011119978 and 2012011120005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9923055 + ... + 10123785.

It is an arithmetic number, because the mean of its divisors is an integer number (64023069936).

Almost surely, 22012011120020 is an apocalyptic number.

2012011120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012011120020 is an abundant number, since it is smaller than the sum of its proper divisors (4134203593836).

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

2012011120020 is a wasteful number, since it uses less digits than its factorization.

2012011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215941 (or 215939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012011120020 its reverse (200211102102), we get a palindrome (2212222222122).

The spelling of 2012011120020 in words is "two trillion, twelve billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15187 30374 45561 60748 75935 91122 151870 167057 182244 200731 227805 303740 334114 401462 455610 501171 602193 668228 802924 835285 911220 1002342 1003655 1204386 1670570 2004684 2007310 2208041 2408772 2505855 3010965 3341140 4014620 4416082 5011710 6021930 6624123 8832164 10023420 11040205 12043860 13248246 22080410 26496492 33120615 44160820 66241230 132482460 3048501697 6097003394 9145505091 12194006788 15242508485 18291010182 30485016970 33533518667 36582020364 45727525455 60970033940 67067037334 91455050910 100600556001 134134074668 167667593335 182910101820 201201112002 335335186670 402402224004 503002780005 670670373340 1006005560010 2012011120020