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1021020120020 = 225178933741577
BaseRepresentation
bin11101101101110011000…
…10101010001111010100
310121121102122111011022202
432312321202222033110
5113212022122320040
62101014500344032
7133523554552535
oct16667142521724
93547378434282
101021020120020
1136401527020a
12145a696a5018
1375388106594
14375bbdd668c
151b85bd3a015
hexedb98aa3d4

1021020120020 has 48 divisors (see below), whose sum is σ = 2295776967120. Its totient is φ = 380065112064.

The previous prime is 1021020120011. The next prime is 1021020120031. The reversal of 1021020120020 is 200210201201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37309240336 + 983710879684 = 193156^2 + 991822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021020119983 and 1021020120010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16840529 + ... + 16901048.

It is an arithmetic number, because the mean of its divisors is an integer number (47828686815).

Almost surely, 21021020120020 is an apocalyptic number.

1021020120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021020120020 is an abundant number, since it is smaller than the sum of its proper divisors (1274756847100).

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

1021020120020 is a wasteful number, since it uses less digits than its factorization.

1021020120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33741692 (or 33741690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1021020120020 its reverse (200210201201), we get a palindrome (1221230321221).

The spelling of 1021020120020 in words is "one trillion, twenty-one billion, twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 890 1513 1780 3026 6052 7565 15130 30260 33741577 67483154 134966308 168707885 337415770 573606809 674831540 1147213618 2294427236 2868034045 3003000353 5736068090 6006000706 11472136180 12012001412 15015001765 30030003530 51051006001 60060007060 102102012002 204204024004 255255030005 510510060010 1021020120020