Search a number
-
+
403203112020 = 2232510122178389
BaseRepresentation
bin1011101111000001100…
…01110011110001010100
31102112201220210022122100
411313200301303301110
523101224444041040
6505121242002100
741062514622012
oct5674061636124
91375656708570
10403203112020
11145aa7710915
1266187aa6330
132c0391294b7
141572d75b8b2
15a74cc0db30
hex5de0c73c54

403203112020 has 72 divisors (see below), whose sum is σ = 1235158895880. Its totient is φ = 106456262400.

The previous prime is 403203112003. The next prime is 403203112021. The reversal of 403203112020 is 20211302304.

It can be written as a sum of positive squares in 4 ways, for example, as 135638997264 + 267564114756 = 368292^2 + 517266^2 .

It is a super-2 number, since 2×4032031120202 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 403203111984 and 403203112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403203112021) 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, 11071015 + ... + 11107374.

It is an arithmetic number, because the mean of its divisors is an integer number (17154984665).

Almost surely, 2403203112020 is an apocalyptic number.

It is an amenable number.

403203112020 is an abundant number, since it is smaller than the sum of its proper divisors (831955783860).

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

403203112020 is a wasteful number, since it uses less digits than its factorization.

403203112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22178505 (or 22178500 counting only the distinct ones).

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

Adding to 403203112020 its reverse (20211302304), we get a palindrome (423414414324).

The spelling of 403203112020 in words is "four hundred three billion, two hundred three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 22178389 44356778 66535167 88713556 110891945 133070334 199605501 221783890 266140668 332675835 399211002 443567780 665351670 798422004 998027505 1330703340 1996055010 2240017289 3992110020 4480034578 6720051867 8960069156 11200086445 13440103734 20160155601 22400172890 26880207468 33600259335 40320311202 44800345780 67200518670 80640622404 100800778005 134401037340 201601556010 403203112020