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3123230213300 = 2252615009102217
BaseRepresentation
bin101101011100101111000…
…001110000010010110100
3102001120121021122201120012
4231130233001300102310
5402132333413311200
610350443034355352
7441434361534011
oct55345701602264
912046537581505
103123230213300
11aa461103a96a
1242537758bb58
1319869a003b92
14ab245250708
15563980b4a35
hex2d72f0704b4

3123230213300 has 72 divisors (see below), whose sum is σ = 6889957269720. Its totient is φ = 1228554547200.

The previous prime is 3123230213267. The next prime is 3123230213309. The reversal of 3123230213300 is 33120323213.

It can be written as a sum of positive squares in 12 ways, for example, as 1522306857124 + 1600923356176 = 1233818^2 + 1265276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123230213309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30503792 + ... + 30606008.

Almost surely, 23123230213300 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 3123230213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444978634860).

3123230213300 is an abundant number, since it is smaller than the sum of its proper divisors (3766727056420).

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

3123230213300 is a wasteful number, since it uses less digits than its factorization.

3123230213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107301 (or 107294 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3123230213300 its reverse (33120323213), we get a palindrome (3156350536513).

The spelling of 3123230213300 in words is "three trillion, one hundred twenty-three billion, two hundred thirty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 5009 6100 10018 20036 25045 50090 100180 102217 125225 204434 250450 305549 408868 500900 511085 611098 1022170 1222196 1527745 2044340 2555425 3055490 5110850 6110980 6235237 7638725 10221700 12470474 15277450 24940948 30554900 31176185 62352370 124704740 155880925 311761850 512004953 623523700 1024009906 2048019812 2560024765 5120049530 10240099060 12800123825 25600247650 31232302133 51200495300 62464604266 124929208532 156161510665 312323021330 624646042660 780807553325 1561615106650 3123230213300