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20110411314 = 23276114291831
BaseRepresentation
bin10010101110101011…
…001000011000110010
31220220112021202002200
4102232223020120302
5312141231130224
613123311524030
71311232450530
oct225653103062
956815252080
1020110411314
11858a891744
123a92b29616
131b86525286
14d8ac27150
157ca7ca5c9
hex4aeac8632

20110411314 has 96 divisors (see below), whose sum is σ = 50676637440. Its totient is φ = 5644598400.

The previous prime is 20110411313. The next prime is 20110411337. The reversal of 20110411314 is 41311401102.

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 (20110411313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10982379 + ... + 10984209.

It is an arithmetic number, because the mean of its divisors is an integer number (527881640).

Almost surely, 220110411314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110411314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338318720).

20110411314 is an abundant number, since it is smaller than the sum of its proper divisors (30566226126).

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

20110411314 is a wasteful number, since it uses less digits than its factorization.

20110411314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20110411314 its reverse (41311401102), we get a palindrome (61421812416).

The spelling of 20110411314 in words is "twenty billion, one hundred ten million, four hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 1429 1831 2562 2858 3662 3843 4287 5493 7686 8574 10003 10986 12817 12861 16479 20006 25634 25722 30009 32958 38451 60018 76902 87169 90027 111691 115353 174338 180054 223382 230706 261507 335073 523014 610183 670146 781837 784521 1005219 1220366 1563674 1569042 1830549 2010438 2345511 2616499 3661098 4691022 5232998 5491647 7036533 7849497 10983294 14073066 15698994 18315493 23548491 36630986 47096982 54946479 109892958 159606439 164839437 319212878 329678874 478819317 957638634 1117245073 1436457951 2234490146 2872915902 3351735219 6703470438 10055205657 20110411314