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11020012020 = 22325417714657
BaseRepresentation
bin10100100001101100…
…00000100111110100
31001110000002121120100
422100312000213310
5140032110341040
65021301034100
7540041361633
oct122066004764
931400077510
1011020012020
114745567156
1221766b5930
131068113394
147677dd51a
154476e3b30
hex290d809f4

11020012020 has 72 divisors (see below), whose sum is σ = 33437653704. Its totient is φ = 2937765888.

The previous prime is 11020012019. The next prime is 11020012039. The reversal of 11020012020 is 2021002011.

It can be written as a sum of positive squares in 4 ways, for example, as 7127749476 + 3892262544 = 84426^2 + 62388^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11020011993 and 11020012011.

It is a congruent number.

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, 744532 + ... + 759188.

It is an arithmetic number, because the mean of its divisors is an integer number (464411857).

Almost surely, 211020012020 is an apocalyptic number.

11020012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020012020 is an abundant number, since it is smaller than the sum of its proper divisors (22417641684).

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

11020012020 is a wasteful number, since it uses less digits than its factorization.

11020012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18849 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020012020 its reverse (2021002011), we get a palindrome (13041014031).

The spelling of 11020012020 in words is "eleven billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4177 8354 12531 14657 16708 20885 25062 29314 37593 41770 43971 50124 58628 62655 73285 75186 83540 87942 125310 131913 146570 150372 175884 187965 219855 250620 263826 293140 375930 439710 527652 659565 751860 879420 1319130 2638260 61222289 122444578 183666867 244889156 306111445 367333734 551000601 612222890 734667468 918334335 1102001202 1224445780 1836668670 2204002404 2755003005 3673337340 5510006010 11020012020