Search a number
-
+
30001203000120 = 233511231087909091
BaseRepresentation
bin1101101001001001100110…
…00011000011001100111000
310221020002100102100111102010
412310210303003003030320
512413014430432000440
6143450210135405520
76214341530621202
oct664446303031470
9127202312314363
1030001203000120
119617490a66930
1234465262238a0
131398141744141
1475a0cd05b772
15370600708580
hex1b49330c3338

30001203000120 has 256 divisors, whose sum is σ = 102549068513280. Its totient is φ = 6950393049600.

The previous prime is 30001203000059. The next prime is 30001203000121. The reversal of 30001203000120 is 2100030210003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30001203000096 and 30001203000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001203000121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32546775 + ... + 33455865.

It is an arithmetic number, because the mean of its divisors is an integer number (400582298880).

Almost surely, 230001203000120 is an apocalyptic number.

30001203000120 is a gapful number since it is divisible by the number (30) 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 30001203000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51274534256640).

30001203000120 is an abundant number, since it is smaller than the sum of its proper divisors (72547865513160).

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

30001203000120 is a wasteful number, since it uses less digits than its factorization.

30001203000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910226 (or 910222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30001203000120 its reverse (2100030210003), we get a palindrome (32101233210123).

The spelling of 30001203000120 in words is "thirty trillion, one billion, two hundred three million, one hundred twenty", and thus it is an aban number.