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1022134342020 = 2235112729567493
BaseRepresentation
bin11101101111110111111…
…01000101000110000100
310121201022022002111120020
432313323331011012010
5113221312342421040
62101321222135140
7133563304361301
oct16677375050604
93551268074506
101022134342020
11364537209740
1214611a8814b0
1375504bc673c
1437685d980a8
151b8c4a7ecd0
hexedfbf45184

1022134342020 has 96 divisors (see below), whose sum is σ = 3123305377920. Its totient is φ = 247698908160.

The previous prime is 1022134342013. The next prime is 1022134342051. The reversal of 1022134342020 is 202434312201.

It is a happy number.

It is a super-2 number, since 2×10221343420202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517394 + ... + 2084886.

It is an arithmetic number, because the mean of its divisors is an integer number (32534431020).

Almost surely, 21022134342020 is an apocalyptic number.

1022134342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022134342020 is an abundant number, since it is smaller than the sum of its proper divisors (2101171035900).

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

1022134342020 is a wasteful number, since it uses less digits than its factorization.

1022134342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570245 (or 570243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1022134342020 its reverse (202434312201), we get a palindrome (1224568654221).

The spelling of 1022134342020 in words is "one trillion, twenty-two billion, one hundred thirty-four million, three hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2729 5458 8187 10916 13645 16374 27290 30019 32748 40935 54580 60038 81870 90057 120076 150095 163740 180114 300190 360228 450285 567493 600380 900570 1134986 1702479 1801140 2269972 2837465 3404958 5674930 6242423 6809916 8512395 11349860 12484846 17024790 18727269 24969692 31212115 34049580 37454538 62424230 74909076 93636345 124848460 187272690 374545380 1548688397 3097376794 4646065191 6194753588 7743441985 9292130382 15486883970 17035572367 18584260764 23230325955 30973767940 34071144734 46460651910 51106717101 68142289468 85177861835 92921303820 102213434202 170355723670 204426868404 255533585505 340711447340 511067171010 1022134342020