Search a number
-
+
10230312133300 = 22527197336728711
BaseRepresentation
bin1001010011011110111000…
…0111101110001010110100
31100020000020001010212002111
42110313232013232022310
52320103134401231200
633431423541220404
72104054446232630
oct224675607561264
940200201125074
1010230312133300
11329471854a656
121192852a01704
135929393c813c
14275214ca9dc0
1512b1a95ea0ba
hex94dee1ee2b4

10230312133300 has 288 divisors, whose sum is σ = 27147053588480. Its totient is φ = 3268364774400.

The previous prime is 10230312133267. The next prime is 10230312133333. The reversal of 10230312133300 is 333121303201.

It is an interprime number because it is at equal distance from previous prime (10230312133267) and next prime (10230312133333).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356305945 + ... + 356334655.

Almost surely, 210230312133300 is an apocalyptic number.

10230312133300 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 10230312133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573526794240).

10230312133300 is an abundant number, since it is smaller than the sum of its proper divisors (16916741455180).

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

10230312133300 is a wasteful number, since it uses less digits than its factorization.

10230312133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29191 (or 29184 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10230312133300 its reverse (333121303201), we get a palindrome (10563433436501).

The spelling of 10230312133300 in words is "ten trillion, two hundred thirty billion, three hundred twelve million, one hundred thirty-three thousand, three hundred".