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123020200320 = 2735251397643
BaseRepresentation
bin111001010010010010…
…0110100100110000000
3102202112111012200110120
41302210210310212000
54003421132402240
6132303101500240
711613361310103
oct1624444644600
9382474180416
10123020200320
1148199772346
121ba13271680
13b7a6b22254
145d504ca73a
1533001d9ad0
hex1ca4934980

123020200320 has 256 divisors, whose sum is σ = 395294618880. Its totient is φ = 32541696000.

The previous prime is 123020200309. The next prime is 123020200327. The reversal of 123020200320 is 23002020321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123020200320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020200327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191321919 + ... + 191322561.

It is an arithmetic number, because the mean of its divisors is an integer number (1544119605).

Almost surely, 2123020200320 is an apocalyptic number.

123020200320 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 123020200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197647309440).

123020200320 is an abundant number, since it is smaller than the sum of its proper divisors (272274418560).

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

123020200320 is a wasteful number, since it uses less digits than its factorization.

123020200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 123020200320 its reverse (23002020321), we get a palindrome (146022220641).

The spelling of 123020200320 in words is "one hundred twenty-three billion, twenty million, two hundred thousand, three hundred twenty".