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1022311110020 = 22582216217681
BaseRepresentation
bin11101110000001100111…
…11011001010110000100
310121201202121201020200012
432320012133121112010
5113222143121010040
62101350535005352
7133600552026014
oct16700637312604
93551677636605
101022311110020
11364617a740a2
12146169b09858
13755327084a5
14376a164dc44
151b8d534a865
hexee067d9584

1022311110020 has 24 divisors (see below), whose sum is σ = 2147114818968. Its totient is φ = 408874636800.

The previous prime is 1022311109959. The next prime is 1022311110031. The reversal of 1022311110020 is 200111132201.

1022311110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85600715776 + 936710394244 = 292576^2 + 967838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022311109977 and 1022311110004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2944421 + ... + 3273260.

It is an arithmetic number, because the mean of its divisors is an integer number (89463117457).

Almost surely, 21022311110020 is an apocalyptic number.

1022311110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022311110020 is an abundant number, since it is smaller than the sum of its proper divisors (1124803708948).

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

1022311110020 is a wasteful number, since it uses less digits than its factorization.

1022311110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225911 (or 6225909 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1022311110020 its reverse (200111132201), we get a palindrome (1222422242221).

The spelling of 1022311110020 in words is "one trillion, twenty-two billion, three hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 8221 16442 32884 41105 82210 164420 6217681 12435362 24870724 31088405 62176810 124353620 51115555501 102231111002 204462222004 255577777505 511155555010 1022311110020