Search a number
-
+
30210000120 = 23325474214241
BaseRepresentation
bin11100001000101010…
…000000010011111000
32212222101110000101100
4130020222000103320
5443332230000440
621513413051400
72116426523046
oct341052002370
985871400340
1030210000120
11118a2837253
125a31326b60
132b05a41021
1416682b1396
15bbc2ab230
hex708a804f8

30210000120 has 192 divisors, whose sum is σ = 100533363840. Its totient is φ = 7864012800.

The previous prime is 30210000113. The next prime is 30210000169. The reversal of 30210000120 is 2100001203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7121200 + ... + 7125440.

It is an arithmetic number, because the mean of its divisors is an integer number (523611270).

Almost surely, 230210000120 is an apocalyptic number.

30210000120 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 30210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50266681920).

30210000120 is an abundant number, since it is smaller than the sum of its proper divisors (70323363720).

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

30210000120 is a wasteful number, since it uses less digits than its factorization.

30210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 30210000120 its reverse (2100001203), we get a palindrome (32310001323).

The spelling of 30210000120 in words is "thirty billion, two hundred ten million, one hundred twenty", and thus it is an aban number.