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30210102000 = 2432531329931
BaseRepresentation
bin11100001000101010…
…011001001011110000
32212222101122012010200
4130020222121023300
5443332241231000
621513415155200
72116430426061
oct341052311360
985871565120
1030210102000
11118a28a6851
125a31375b00
132b05a78500
1416682da568
15bbc2cb500
hex708a992f0

30210102000 has 360 divisors, whose sum is σ = 114266110608. Its totient is φ = 7435584000.

The previous prime is 30210101981. The next prime is 30210102001. The reversal of 30210102000 is 20101203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30210102001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3037035 + ... + 3046965.

Almost surely, 230210102000 is an apocalyptic number.

30210102000 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 30210102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57133055304).

30210102000 is an abundant number, since it is smaller than the sum of its proper divisors (84056008608).

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

30210102000 is a wasteful number, since it uses less digits than its factorization.

30210102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9954 counting only the distinct ones).

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

Adding to 30210102000 its reverse (20101203), we get a palindrome (30230203203).

The spelling of 30210102000 in words is "thirty billion, two hundred ten million, one hundred two thousand".