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20400314310 = 23251012244259
BaseRepresentation
bin10010111111111101…
…000001011111000110
31221122201210100020200
4102333331001133012
5313234440024220
613212145311330
71321352545005
oct227775013706
957581710220
1020400314310
11871949a0a2
123b54035546
131c015c92cc
14db752cc3c
157e5e92890
hex4bff417c6

20400314310 has 48 divisors (see below), whose sum is σ = 53565997680. Its totient is φ = 5386219200.

The previous prime is 20400314309. The next prime is 20400314317. The reversal of 20400314310 is 1341300402.

20400314310 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 314 + 310 = 666.

It is a super-2 number, since 2×204003143102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400314317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113040 + ... + 1131219.

It is an arithmetic number, because the mean of its divisors is an integer number (1115958285).

Almost surely, 220400314310 is an apocalyptic number.

20400314310 is an abundant number, since it is smaller than the sum of its proper divisors (33165683370).

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

20400314310 is a wasteful number, since it uses less digits than its factorization.

20400314310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244373 (or 2244370 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20400314310 its reverse (1341300402), we get a palindrome (21741614712).

The spelling of 20400314310 in words is "twenty billion, four hundred million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 2244259 4488518 6732777 11221295 13465554 20198331 22442590 33663885 40396662 67327770 100991655 201983310 226670159 453340318 680010477 1133350795 1360020954 2040031431 2266701590 3400052385 4080062862 6800104770 10200157155 20400314310