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20250312300 = 223252139161873
BaseRepresentation
bin10010110111000000…
…110011111001101100
31221021021112110011200
4102313000303321230
5312433034443200
613145230245500
71314551546241
oct226700637154
957237473150
1020250312300
118651856399
123b11956890
131ba94c951a
14da16435c8
157d7c12800
hex4b7033e6c

20250312300 has 108 divisors (see below), whose sum is σ = 63930517560. Its totient is φ = 5361200640.

The previous prime is 20250312281. The next prime is 20250312307. The reversal of 20250312300 is 321305202.

20250312300 is a `hidden beast` number, since 2 + 0 + 2 + 50 + 312 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20250312307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44164 + ... + 206036.

Almost surely, 220250312300 is an apocalyptic number.

20250312300 is a gapful number since it is divisible by the number (20) 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 20250312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31965258780).

20250312300 is an abundant number, since it is smaller than the sum of its proper divisors (43680205260).

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

20250312300 is a wasteful number, since it uses less digits than its factorization.

20250312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162032 (or 162022 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20250312300 its reverse (321305202), we get a palindrome (20571617502).

The spelling of 20250312300 in words is "twenty billion, two hundred fifty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 139 150 180 225 278 300 417 450 556 695 834 900 1251 1390 1668 2085 2502 2780 3475 4170 5004 6255 6950 8340 10425 12510 13900 20850 25020 31275 41700 62550 125100 161873 323746 485619 647492 809365 971238 1456857 1618730 1942476 2428095 2913714 3237460 4046825 4856190 5827428 7284285 8093650 9712380 12140475 14568570 16187300 22500347 24280950 29137140 36421425 45000694 48561900 67501041 72842850 90001388 112501735 135002082 145685700 202503123 225003470 270004164 337505205 405006246 450006940 562508675 675010410 810012492 1012515615 1125017350 1350020820 1687526025 2025031230 2250034700 3375052050 4050062460 5062578075 6750104100 10125156150 20250312300