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20131111120 = 245271392753
BaseRepresentation
bin10010101111111010…
…000110000011010000
31220221222020101220011
4102233322012003100
5312212031023440
613125331324304
71311603423031
oct225772060320
956858211804
1020131111120
1185a053a81a
123a99a50694
131b8a8c2093
14d8d894a88
157cc5189ea
hex4afe860d0

20131111120 has 40 divisors (see below), whose sum is σ = 46822590216. Its totient is φ = 8049389568.

The previous prime is 20131111109. The next prime is 20131111127. The reversal of 20131111120 is 2111113102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6100234816 + 14030876304 = 78104^2 + 118452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 20131111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170664 + ... + 263416.

Almost surely, 220131111120 is an apocalyptic number.

20131111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131111120 is an abundant number, since it is smaller than the sum of its proper divisors (26691479096).

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

20131111120 is a wasteful number, since it uses less digits than its factorization.

20131111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95479 (or 95473 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 20131111120 its reverse (2111113102), we get a palindrome (22242224222).

The spelling of 20131111120 in words is "twenty billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2713 5426 10852 13565 21704 27130 43408 54260 92753 108520 185506 217040 371012 463765 742024 927530 1484048 1855060 3710120 7420240 251638889 503277778 1006555556 1258194445 2013111112 2516388890 4026222224 5032777780 10065555560 20131111120