Search a number
-
+
10203310301220 = 22325229247533001
BaseRepresentation
bin1001010001111010010010…
…1011111010000000100100
31100010102112020102122220200
42110132210223322000210
52314132334414114340
633411200330230500
72102110353366261
oct224364453720044
940112466378820
1010203310301220
113284221735553
121189577b85430
135902252256ca
14273bb2b0c268
1512a628d02330
hex947a4afa024

10203310301220 has 72 divisors (see below), whose sum is σ = 31085194391160. Its totient is φ = 2709001152000.

The previous prime is 10203310301189. The next prime is 10203310301263. The reversal of 10203310301220 is 2210301330201.

10203310301220 is a `hidden beast` number, since 1 + 0 + 203 + 310 + 30 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3535543132416 + 6667767168804 = 1880304^2 + 2582202^2 .

It is a super-2 number, since 2×102033103012202 (a number of 27 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 = 10203310301193 and 10203310301202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123725281 + ... + 123807720.

Almost surely, 210203310301220 is an apocalyptic number.

10203310301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203310301220 is an abundant number, since it is smaller than the sum of its proper divisors (20881884089940).

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

10203310301220 is a wasteful number, since it uses less digits than its factorization.

10203310301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247533245 (or 247533240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10203310301220 its reverse (2210301330201), we get a palindrome (12413611631421).

The spelling of 10203310301220 in words is "ten trillion, two hundred three billion, three hundred ten million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6870 8244 10305 13740 20610 41220 247533001 495066002 742599003 990132004 1237665005 1485198006 2227797009 2475330010 2970396012 3712995015 4455594018 4950660020 7425990030 8911188036 11138985045 14851980060 22277970090 44555940180 56685057229 113370114458 170055171687 226740228916 283425286145 340110343374 510165515061 566850572290 680220686748 850275858435 1020331030122 1133701144580 1700551716870 2040662060244 2550827575305 3401103433740 5101655150610 10203310301220