Search a number
-
+
3120212000 = 25533125163
BaseRepresentation
bin1011100111111010…
…1010100000100000
322001110020012012102
42321332222200200
522342233241000
61233340545532
7140215235663
oct27176524040
98043205172
103120212000
111361307504
12730b522a8
133a9583ab9
142185796da
15133ddc3d5
hexb9faa820

3120212000 has 96 divisors (see below), whose sum is σ = 7913977344. Its totient is φ = 1207776000.

The previous prime is 3120211979. The next prime is 3120212009. The reversal of 3120212000 is 2120213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3120212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111419 + ... + 136581.

It is an arithmetic number, because the mean of its divisors is an integer number (82437264).

Almost surely, 23120212000 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 3120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956988672).

3120212000 is an abundant number, since it is smaller than the sum of its proper divisors (4793765344).

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

3120212000 is a wasteful number, since it uses less digits than its factorization.

3120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25219 (or 25201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3120212000 is about 55858.8578472564. The cubic root of 3120212000 is about 1461.2618102689.

Adding to 3120212000 its reverse (2120213), we get a palindrome (3122332213).

The spelling of 3120212000 in words is "three billion, one hundred twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3875 4000 4960 6200 7750 12400 15500 24800 25163 31000 50326 62000 100652 124000 125815 201304 251630 402608 503260 629075 780053 805216 1006520 1258150 1560106 2013040 2516300 3120212 3145375 3900265 4026080 5032600 6240424 6290750 7800530 10065200 12480848 12581500 15601060 19501325 20130400 24961696 25163000 31202120 39002650 50326000 62404240 78005300 97506625 100652000 124808480 156010600 195013250 312021200 390026500 624042400 780053000 1560106000 3120212000