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3031231300000 = 2555281107873
BaseRepresentation
bin101100000111000011011…
…101110000000110100000
3101201210010201110200212221
4230013003131300012200
5344130430203100000
610240310050400424
7431666510632621
oct54070335600640
911653121420787
103031231300000
11a695a1054712
1240b581290114
1318cac8028087
14a69d8a9ba48
1553cb14dc61a
hex2c1c37701a0

3031231300000 has 144 divisors (see below), whose sum is σ = 7485807924504. Its totient is φ = 1208166400000.

The previous prime is 3031231299917. The next prime is 3031231300007. The reversal of 3031231300000 is 31321303.

It can be written as a sum of positive squares in 12 ways, for example, as 294019879696 + 2737211420304 = 542236^2 + 1654452^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3031231300007) 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 23 ways as a sum of consecutive naturals, for example, 28046064 + ... + 28153936.

Almost surely, 23031231300000 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 3031231300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742903962252).

3031231300000 is an abundant number, since it is smaller than the sum of its proper divisors (4454576624504).

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

3031231300000 is an equidigital number, since it uses as much as digits as its factorization.

3031231300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108189 (or 108161 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3031231300000 its reverse (31321303), we get a palindrome (3031262621303).

The spelling of 3031231300000 in words is "three trillion, thirty-one billion, two hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 281 400 500 562 625 800 1000 1124 1250 1405 2000 2248 2500 2810 3125 4000 4496 5000 5620 6250 7025 8992 10000 11240 12500 14050 20000 22480 25000 28100 35125 44960 50000 56200 70250 100000 107873 112400 140500 175625 215746 224800 281000 351250 431492 539365 562000 702500 862984 878125 1078730 1124000 1405000 1725968 1756250 2157460 2696825 2810000 3451936 3512500 4314920 5393650 5620000 7025000 8629840 10787300 13484125 14050000 17259680 21574600 26968250 28100000 30312313 43149200 53936500 60624626 67420625 86298400 107873000 121249252 134841250 151561565 215746000 242498504 269682500 303123130 337103125 431492000 484997008 539365000 606246260 674206250 757807825 969994016 1078730000 1212492520 1348412500 1515615650 2157460000 2424985040 2696825000 3031231300 3789039125 4849970080 5393650000 6062462600 7578078250 10787300000 12124925200 15156156500 18945195625 24249850400 30312313000 37890391250 60624626000 75780782500 94725978125 121249252000 151561565000 189451956250 303123130000 378903912500 606246260000 757807825000 1515615650000 3031231300000