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20300312400 = 2435216916927
BaseRepresentation
bin10010111001111111…
…100010111101010000
31221101202121201102020
4102321333202331100
5313033334444100
613154214051440
71316026544154
oct227177427520
957352551366
1020300312400
118677aa7195
123b26649b80
131bb6984994
14da813b064
157dc2dc5a0
hex4b9fe2f50

20300312400 has 60 divisors (see below), whose sum is σ = 65028671232. Its totient is φ = 5413416320.

The previous prime is 20300312363. The next prime is 20300312401. The reversal of 20300312400 is 421300302.

It is a tau number, because it is divible by the number of its divisors (60).

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 20300312400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300312401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8457264 + ... + 8459663.

Almost surely, 220300312400 is an apocalyptic number.

20300312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300312400 is an abundant number, since it is smaller than the sum of its proper divisors (44728358832).

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

20300312400 is a wasteful number, since it uses less digits than its factorization.

20300312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916948 (or 16916937 counting only the distinct ones).

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

Adding to 20300312400 its reverse (421300302), we get a palindrome (20721612702).

The spelling of 20300312400 in words is "twenty billion, three hundred million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16916927 33833854 50750781 67667708 84584635 101501562 135335416 169169270 203003124 253753905 270670832 338338540 406006248 422923175 507507810 676677080 812012496 845846350 1015015620 1268769525 1353354160 1691692700 2030031240 2537539050 3383385400 4060062480 5075078100 6766770800 10150156200 20300312400