Search a number
-
+
123045243200 = 26521154712781
BaseRepresentation
bin111001010011000010…
…0010110100101000000
3102202121020022222211122
41302212010112211000
54003444040240300
6132305354331412
711614114211315
oct1624604264500
9382536288748
10123045243200
1148201917440
121ba1b729b68
13b7ac07cb19
145d53968d0c
1533024d4c85
hex1ca6116940

123045243200 has 168 divisors, whose sum is σ = 330922298784. Its totient is φ = 44658432000.

The previous prime is 123045243199. The next prime is 123045243229. The reversal of 123045243200 is 2342540321.

It is a self number, because there is not a number n which added to its sum of digits gives 123045243200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9620810 + ... + 9633590.

It is an arithmetic number, because the mean of its divisors is an integer number (1969775588).

Almost surely, 2123045243200 is an apocalyptic number.

123045243200 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 123045243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165461149392).

123045243200 is an abundant number, since it is smaller than the sum of its proper divisors (207877055584).

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

123045243200 is a wasteful number, since it uses less digits than its factorization.

123045243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 123045243200 its reverse (2342540321), we get a palindrome (125387783521).

The spelling of 123045243200 in words is "one hundred twenty-three billion, forty-five million, two hundred forty-three thousand, two hundred".