Search a number
-
+
30023213200992 = 25331115232074201
BaseRepresentation
bin1101101001110010100101…
…11101010011011001100000
310221022012011100102112212000
412310321102331103121200
512413400020034412432
6143504250154404000
76216051132344064
oct664712275233140
9127265140375760
1030023213200992
11962585616a590
12344a849430600
13139a23b72823b
1475b1ba2d5aa4
15370e8cb9e57c
hex1b4e52f53660

30023213200992 has 192 divisors, whose sum is σ = 95591175563520. Its totient is φ = 9091965312000.

The previous prime is 30023213200991. The next prime is 30023213201011. The reversal of 30023213200992 is 29900231232003.

30023213200992 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 321 + 320 + 0 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30023213200991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13437492 + ... + 15511692.

It is an arithmetic number, because the mean of its divisors is an integer number (497870706060).

Almost surely, 230023213200992 is an apocalyptic number.

30023213200992 is a gapful number since it is divisible by the number (32) 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 30023213200992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47795587781760).

30023213200992 is an abundant number, since it is smaller than the sum of its proper divisors (65567962362528).

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

30023213200992 is a wasteful number, since it uses less digits than its factorization.

30023213200992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075754 (or 2075740 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Adding to 30023213200992 its reverse (29900231232003), we get a palindrome (59923444432995).

The spelling of 30023213200992 in words is "thirty trillion, twenty-three billion, two hundred thirteen million, two hundred thousand, nine hundred ninety-two".