Search a number
-
+
1014231212000 = 25531931313771
BaseRepresentation
bin11101100001001001110…
…01000001111111100000
310120221220111221220021222
432300210321001333200
5113104121142241000
62053533102434212
7133163411026016
oct16604471017740
93527814856258
101014231212000
11361151095126
12144693b92968
137484576c546
14371365088b6
151b5b0d1ba85
hexec24e41fe0

1014231212000 has 96 divisors (see below), whose sum is σ = 2504879735904. Its totient is φ = 403590144000.

The previous prime is 1014231211999. The next prime is 1014231212017. The reversal of 1014231212000 is 2121324101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014231212000.

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, 115115 + ... + 1428885.

It is an arithmetic number, because the mean of its divisors is an integer number (26092497249).

Almost surely, 21014231212000 is an apocalyptic number.

1014231212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014231212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252439867952).

1014231212000 is an abundant number, since it is smaller than the sum of its proper divisors (1490648523904).

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

1014231212000 is a wasteful number, since it uses less digits than its factorization.

1014231212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313989 (or 1313971 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1014231212000 its reverse (2121324101), we get a palindrome (1016352536101).

The spelling of 1014231212000 in words is "one trillion, fourteen billion, two hundred thirty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 193 200 250 386 400 500 772 800 965 1000 1544 1930 2000 3088 3860 4000 4825 6176 7720 9650 15440 19300 24125 30880 38600 48250 77200 96500 154400 193000 386000 772000 1313771 2627542 5255084 6568855 10510168 13137710 21020336 26275420 32844275 42040672 52550840 65688550 105101680 131377100 164221375 210203360 253557803 262754200 328442750 507115606 525508400 656885500 1014231212 1051016800 1267789015 1313771000 2028462424 2535578030 2627542000 4056924848 5071156060 5255084000 6338945075 8113849696 10142312120 12677890150 20284624240 25355780300 31694725375 40569248480 50711560600 63389450750 101423121200 126778901500 202846242400 253557803000 507115606000 1014231212000