Search a number
-
+
2011200012 = 2232617911593
BaseRepresentation
bin111011111100000…
…0111101000001100
312012011102112202100
41313320013220030
513104331400022
6531322555100
7100560626613
oct16770075014
95164375670
102011200012
119422a7378
12481668a90
132608991a3
1415117287a
15bb8761ac
hex77e07a0c

2011200012 has 72 divisors (see below), whose sum is σ = 5233067840. Its totient is φ = 651006720.

The previous prime is 2011199969. The next prime is 2011200047. The reversal of 2011200012 is 2100021102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011199967 and 2011200003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167688 + ... + 179280.

Almost surely, 22011200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616533920).

2011200012 is an abundant number, since it is smaller than the sum of its proper divisors (3221867828).

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

2011200012 is a wasteful number, since it uses less digits than its factorization.

2011200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011200012 is about 44846.4046719467. The cubic root of 2011200012 is about 1262.2685285143.

Adding to 2011200012 its reverse (2100021102), we get a palindrome (4111221114).

The spelling of 2011200012 in words is "two billion, eleven million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 79 122 158 183 237 244 316 366 474 549 711 732 948 1098 1422 2196 2844 4819 9638 11593 14457 19276 23186 28914 34779 43371 46372 57828 69558 86742 104337 139116 173484 208674 417348 707173 915847 1414346 1831694 2121519 2747541 2828692 3663388 4243038 5495082 6364557 8242623 8486076 10990164 12729114 16485246 25458228 32970492 55866667 111733334 167600001 223466668 335200002 502800003 670400004 1005600006 2011200012