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10302012221220 = 22325277206618777
BaseRepresentation
bin1001010111101001111111…
…0001110110011100100100
31100110212021221111201011100
42111322133301312130210
52322242010112034340
633524402403040100
72112203316022056
oct225723761663444
940425257451140
1010302012221220
113312071364965
1211a4723070030
13599624b20075
142788975cb8d6
1512cea40ca830
hex95e9fc76724

10302012221220 has 72 divisors (see below), whose sum is σ = 31362251075064. Its totient is φ = 2737285544448.

The previous prime is 10302012221219. The next prime is 10302012221233. The reversal of 10302012221220 is 2212221020301.

10302012221220 is a `hidden beast` number, since 1 + 0 + 302 + 0 + 122 + 21 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 575061355584 + 9726950865636 = 758328^2 + 3118806^2 .

It is a super-2 number, since 2×103020122212202 (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 = 10302012221193 and 10302012221202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103259529 + ... + 103359248.

It is an arithmetic number, because the mean of its divisors is an integer number (435586820487).

Almost surely, 210302012221220 is an apocalyptic number.

10302012221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302012221220 is an abundant number, since it is smaller than the sum of its proper divisors (21060238853844).

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

10302012221220 is a wasteful number, since it uses less digits than its factorization.

10302012221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206619069 (or 206619064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10302012221220 its reverse (2212221020301), we get a palindrome (12514233241521).

The spelling of 10302012221220 in words is "ten trillion, three hundred two billion, twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 24930 49860 206618777 413237554 619856331 826475108 1033093885 1239712662 1859568993 2066187770 2479425324 3099281655 3719137986 4132375540 6198563310 7438275972 9297844965 12397126620 18595689930 37191379860 57233401229 114466802458 171700203687 228933604916 286167006145 343400407374 515100611061 572334012290 686800814748 858501018435 1030201222122 1144668024580 1717002036870 2060402444244 2575503055305 3434004073740 5151006110610 10302012221220