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20121214300 = 22521118292013
BaseRepresentation
bin10010101111010100…
…010101110101011100
31220221021121121000021
4102233110111311130
5312202012324200
613124335241524
71311423333235
oct225724256534
956837547007
1020121214300
1185959a0130
123a966792a4
131b88838485
14d8c43a08c
157cb71141a
hex4af515d5c

20121214300 has 36 divisors (see below), whose sum is σ = 47632404456. Its totient is φ = 7316804800.

The previous prime is 20121214291. The next prime is 20121214363. The reversal of 20121214300 is 341212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9144907 + ... + 9147106.

It is an arithmetic number, because the mean of its divisors is an integer number (1323122346).

Almost surely, 220121214300 is an apocalyptic number.

20121214300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121214300 is an abundant number, since it is smaller than the sum of its proper divisors (27511190156).

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

20121214300 is a wasteful number, since it uses less digits than its factorization.

20121214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18292038 (or 18292031 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20121214300 its reverse (341212102), we get a palindrome (20462426402).

It can be divided in two parts, 201212 and 14300, that added together give a palindrome (215512).

The spelling of 20121214300 in words is "twenty billion, one hundred twenty-one million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 18292013 36584026 73168052 91460065 182920130 201212143 365840260 402424286 457300325 804848572 914600650 1006060715 1829201300 2012121430 4024242860 5030303575 10060607150 20121214300