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20121225100 = 22521031953517
BaseRepresentation
bin10010101111010100…
…011000011110001100
31220221021122010211021
4102233110120132030
5312202013200400
613124335403524
71311423406564
oct225724303614
956837563737
1020121225100
1185959a8259
123a966835a4
131b88840372
14d8c43dda4
157cb71471a
hex4af51878c

20121225100 has 36 divisors (see below), whose sum is σ = 44086994224. Its totient is φ = 7970345280.

The previous prime is 20121225097. The next prime is 20121225101. The reversal of 20121225100 is 152212102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20121225101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966459 + ... + 987058.

Almost surely, 220121225100 is an apocalyptic number.

20121225100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121225100 is an abundant number, since it is smaller than the sum of its proper divisors (23965769124).

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

20121225100 is a wasteful number, since it uses less digits than its factorization.

20121225100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953634 (or 1953627 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 20121225100 its reverse (152212102), we get a palindrome (20273437202).

The spelling of 20121225100 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 1953517 3907034 7814068 9767585 19535170 39070340 48837925 97675850 195351700 201212251 402424502 804849004 1006061255 2012122510 4024245020 5030306275 10060612550 20121225100