Search a number
-
+
30102320223000 = 2335531773173577
BaseRepresentation
bin1101101100000101111100…
…00110101001001100011000
310221120202100110020122100000
412312002332012221030120
512421144022434114000
6144004452012413000
76224551362054234
oct666027606511430
9127522313218300
1030102320223000
119656360000023
123462046177160
1313a48378548bc
14760d626215c4
1537306ca7c000
hex1b60be1a9318

30102320223000 has 1536 divisors, whose sum is σ = 114103391351040. Its totient is φ = 7395685171200.

The previous prime is 30102320222971. The next prime is 30102320223007. The reversal of 30102320223000 is 32202320103.

It is a happy number.

30102320223000 is a `hidden beast` number, since 30 + 10 + 2 + 320 + 2 + 2 + 300 + 0 = 666.

It is a super-2 number, since 2×301023202230002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30102320223007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52170398712 + ... + 52170399288.

Almost surely, 230102320223000 is an apocalyptic number.

30102320223000 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 30102320223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57051695675520).

30102320223000 is an abundant number, since it is smaller than the sum of its proper divisors (84001071128040).

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

30102320223000 is a wasteful number, since it uses less digits than its factorization.

30102320223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30102320223000 its reverse (32202320103), we get a palindrome (30134522543103).

The spelling of 30102320223000 in words is "thirty trillion, one hundred two billion, three hundred twenty million, two hundred twenty-three thousand".