| Base | Representation |
|---|---|
| bin | 1101101100000101011110… |
| … | …10111010101100100000000 |
| 3 | 10221120201201012221101221000 |
| 4 | 12312002233113111210000 |
| 5 | 12421143021133101200 |
| 6 | 144004411300332000 |
| 7 | 6224542300152000 |
| oct | 666025727254400 |
| 9 | 127521635841830 |
| 10 | 30102072940800 |
| 11 | 9656243463273 |
| 12 | 3461b973a4000 |
| 13 | 13a47c8554283 |
| 14 | 760d3b852000 |
| 15 | 373055ed3300 |
| hex | 1b60af5d5900 |
30102072940800 has 3456 divisors, whose sum is σ = 135406333440000. Its totient is φ = 6532072243200.
The previous prime is 30102072940799. The next prime is 30102072940801. The reversal of 30102072940800 is 804927020103.
30102072940800 is a `hidden beast` number, since 30 + 10 + 207 + 2 + 9 + 408 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (30102072940799) and next prime (30102072940801).
It is a tau number, because it is divible by the number of its divisors (3456).
It is a super-2 number, since 2×301020729408002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (30102072940801) 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, 142663852695 + ... + 142663852905.
Almost surely, 230102072940800 is an apocalyptic number.
30102072940800 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 30102072940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67703166720000).
30102072940800 is an abundant number, since it is smaller than the sum of its proper divisors (105304260499200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30102072940800 is a wasteful number, since it uses less digits than its factorization.
30102072940800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379 (or 340 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
Adding to 30102072940800 its reverse (804927020103), we get a palindrome (30906999960903).
The spelling of 30102072940800 in words is "thirty trillion, one hundred two billion, seventy-two million, nine hundred forty thousand, eight hundred".
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