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3232120000000 = 295780803
BaseRepresentation
bin101111000010001001010…
…111010100111000000000
3102102222200000000000121011
4233002021113110320000
5410423340210000000
610512452044410304
7452340642463003
oct57021127247000
912388600000534
103232120000000
11103680952a321
124424a6546994
131a5a314b5428
14b2614bd753a
155911c9aa2ba
hex2f0895d4e00

3232120000000 has 160 divisors (see below), whose sum is σ = 8072488318752. Its totient is φ = 1292832000000.

The previous prime is 3232119999991. The next prime is 3232120000001. The reversal of 3232120000000 is 212323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3232120000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39959599 + ... + 40040401.

Almost surely, 23232120000000 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 3232120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036244159376).

3232120000000 is an abundant number, since it is smaller than the sum of its proper divisors (4840368318752).

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

3232120000000 is an frugal number, since it uses more digits than its factorization.

3232120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80856 (or 80810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 3232120000000 its reverse (212323), we get a palindrome (3232120212323).

The spelling of 3232120000000 in words is "three trillion, two hundred thirty-two billion, one hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 78125 80000 80803 100000 125000 156250 160000 161606 200000 250000 312500 320000 323212 400000 404015 500000 625000 646424 800000 808030 1000000 1250000 1292848 1600000 1616060 2000000 2020075 2500000 2585696 3232120 4000000 4040150 5000000 5171392 6464240 8000000 8080300 10000000 10100375 10342784 12928480 16160600 20000000 20200750 20685568 25856960 32321200 40000000 40401500 41371136 50501875 51713920 64642400 80803000 101003750 103427840 129284800 161606000 202007500 206855680 252509375 258569600 323212000 404015000 505018750 517139200 646424000 808030000 1010037500 1034278400 1262546875 1292848000 1616060000 2020075000 2525093750 2585696000 3232120000 4040150000 5050187500 5171392000 6312734375 6464240000 8080300000 10100375000 12625468750 12928480000 16160600000 20200750000 25250937500 25856960000 32321200000 40401500000 50501875000 64642400000 80803000000 101003750000 129284800000 161606000000 202007500000 323212000000 404015000000 646424000000 808030000000 1616060000000 3232120000000