Search a number
-
+
10230230310300 = 223352711133839883
BaseRepresentation
bin1001010011011110100100…
…1111100101110110011100
31100020000000100011211001000
42110313221033211312130
52320103002424412200
633431411455350300
72104052433604620
oct224675117456634
940200010154030
1010230230310300
113294686343840
12119282b522390
1359292547a070
1427520808b180
1512b1a2336300
hex94de93e5d9c

10230230310300 has 1152 divisors, whose sum is σ = 44277486059520. Its totient is φ = 1956920601600.

The previous prime is 10230230310259. The next prime is 10230230310317. The reversal of 10230230310300 is 301303203201.

10230230310300 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 23 + 0 + 310 + 300 = 666.

It is a super-2 number, since 2×102302303103002 (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1035129159 + ... + 1035139041.

It is an arithmetic number, because the mean of its divisors is an integer number (38435317760).

Almost surely, 210230230310300 is an apocalyptic number.

10230230310300 is a gapful number since it is divisible by the number (10) 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 10230230310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138743029760).

10230230310300 is an abundant number, since it is smaller than the sum of its proper divisors (34047255749220).

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

10230230310300 is a wasteful number, since it uses less digits than its factorization.

10230230310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10230230310300 its reverse (301303203201), we get a palindrome (10531533513501).

The spelling of 10230230310300 in words is "ten trillion, two hundred thirty billion, two hundred thirty million, three hundred ten thousand, three hundred".