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30010012032000 = 21035371113101773
BaseRepresentation
bin1101101001011010000000…
…00110110101110000000000
310221020221002100002200102010
412310231000012311300000
512413141001040011000
6143454224215452520
76215103034302660
oct664550006656000
9127227070080363
1030010012032000
1196201a1483970
123448184387140
131398c16780140
1475a6c6d621a0
15370968c61d50
hex1b4b401b5c00

30010012032000 has 2816 divisors, whose sum is σ = 135532307828736. Its totient is φ = 5691801600000.

The previous prime is 30010012031999. The next prime is 30010012032001. The reversal of 30010012032000 is 23021001003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30010012031999) and next prime (30010012032001).

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30010012032001) 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 255 ways as a sum of consecutive naturals, for example, 38822783614 + ... + 38822784386.

Almost surely, 230010012032000 is an apocalyptic number.

30010012032000 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 30010012032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67766153914368).

30010012032000 is an abundant number, since it is smaller than the sum of its proper divisors (105522295796736).

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

30010012032000 is a wasteful number, since it uses less digits than its factorization.

30010012032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 915 counting only the distinct ones).

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

Adding to 30010012032000 its reverse (23021001003), we get a palindrome (30033033033003).

The spelling of 30010012032000 in words is "thirty trillion, ten billion, twelve million, thirty-two thousand".