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1022134510120 = 23553814748813
BaseRepresentation
bin11101101111110111111…
…01101110001000101000
310121201022022102001011011
432313323331232020220
5113221312413310440
62101321225513304
7133563305661343
oct16677375561050
93551268361134
101022134510120
11364537313a69
1214611a942834
1375504c550c9
1437685ddd45a
151b8c4ab49ea
hexedfbf6e228

1022134510120 has 32 divisors (see below), whose sum is σ = 2300230525320. Its totient is φ = 408777736960.

The previous prime is 1022134510109. The next prime is 1022134510121. The reversal of 1022134510120 is 210154312201.

It can be written as a sum of positive squares in 4 ways, for example, as 646863101284 + 375271408836 = 804278^2 + 612594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022134510091 and 1022134510100.

It is not an unprimeable number, because it can be changed into a prime (1022134510121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2159167 + ... + 2589646.

Almost surely, 21022134510120 is an apocalyptic number.

1022134510120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022134510120 is an abundant number, since it is smaller than the sum of its proper divisors (1278096015200).

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

1022134510120 is a wasteful number, since it uses less digits than its factorization.

1022134510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754205 (or 4754201 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1022134510120 its reverse (210154312201), we get a palindrome (1232288822321).

The spelling of 1022134510120 in words is "one trillion, twenty-two billion, one hundred thirty-four million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5381 10762 21524 26905 43048 53810 107620 215240 4748813 9497626 18995252 23744065 37990504 47488130 94976260 189952520 25553362753 51106725506 102213451012 127766813765 204426902024 255533627530 511067255060 1022134510120