Search a number
-
+
310130022022020 = 223253373510804793
BaseRepresentation
bin100011010000011111100010…
…1110010111111101110000100
31111200002010210110112220211200
41012200333011302333232010
5311122132241114201040
63015331433144302500
7122216104025112024
oct10640770562775604
91450063713486750
10310130022022020
118a8a94493a4092
122a949338a71a30
131040819bb75735
145682531d23a84
1525cc2d8515630
hex11a0fc5cbfb84

310130022022020 has 72 divisors (see below), whose sum is σ = 941006634725976. Its totient is φ = 82676820413952.

The previous prime is 310130022022013. The next prime is 310130022022021. The reversal of 310130022022020 is 20220220031013.

310130022022020 is a `hidden beast` number, since 3 + 101 + 300 + 2 + 20 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192827605792644 + 117302416229376 = 13886238^2 + 10830624^2 .

It is a super-2 number, since 2×3101300220220202 (a number of 30 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 = 310130022021984 and 310130022022002.

It is not an unprimeable number, because it can be changed into a prime (310130022022021) 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, 254795257 + ... + 256009536.

Almost surely, 2310130022022020 is an apocalyptic number.

310130022022020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310130022022020 is an abundant number, since it is smaller than the sum of its proper divisors (630876612703956).

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

310130022022020 is a wasteful number, since it uses less digits than its factorization.

310130022022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510808181 (or 510808176 counting only the distinct ones).

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

Adding to 310130022022020 its reverse (20220220031013), we get a palindrome (330350242053033).

The spelling of 310130022022020 in words is "three hundred ten trillion, one hundred thirty billion, twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3373 6746 10119 13492 16865 20238 30357 33730 40476 50595 60714 67460 101190 121428 151785 202380 303570 607140 510804793 1021609586 1532414379 2043219172 2554023965 3064828758 4597243137 5108047930 6129657516 7662071895 9194486274 10216095860 15324143790 18388972548 22986215685 30648287580 45972431370 91944862740 1722944566789 3445889133578 5168833700367 6891778267156 8614722833945 10337667400734 15506501101101 17229445667890 20675334801468 25844168501835 31013002202202 34458891335780 51688337003670 62026004404404 77532505505505 103376674007340 155065011011010 310130022022020