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1010010022020 = 2232591913734447
BaseRepresentation
bin11101011001010010100…
…10011110000010000100
310120120000100001020020100
432230221102132002010
5113022000031201040
62051554152004100
7132653663351466
oct16545122360204
93516010036210
101010010022020
1135a38536566a
121438b6390630
13743220848ac
1436c55a58136
151b415453b30
hexeb2949e084

1010010022020 has 144 divisors (see below), whose sum is σ = 3069954800640. Its totient is φ = 268786522368.

The previous prime is 1010010021983. The next prime is 1010010022121. The reversal of 1010010022020 is 202200100101.

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 = 1010010021993 and 1010010022011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227119437 + ... + 227123883.

It is an arithmetic number, because the mean of its divisors is an integer number (21319130560).

Almost surely, 21010010022020 is an apocalyptic number.

1010010022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010010022020 is an abundant number, since it is smaller than the sum of its proper divisors (2059944778620).

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

1010010022020 is a wasteful number, since it uses less digits than its factorization.

1010010022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754 (or 6749 counting only the distinct ones).

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

Adding to 1010010022020 its reverse (202200100101), we get a palindrome (1212210122121).

The spelling of 1010010022020 in words is "one trillion, ten billion, ten million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 919 1373 1838 2746 2757 3676 4119 4447 4595 5492 5514 6865 8238 8271 8894 9190 11028 12357 13341 13730 13785 16476 16542 17788 18380 20595 22235 24714 26682 27460 27570 33084 40023 41190 41355 44470 49428 53364 55140 61785 66705 80046 82380 82710 88940 123570 133410 160092 165420 200115 247140 266820 400230 800460 1261787 2523574 3785361 4086793 5047148 6105731 6308935 7570722 8173586 11356083 12211462 12260379 12617870 15141444 16347172 18317193 18926805 20433965 22712166 24422924 24520758 25235740 30528655 36634386 36781137 37853610 40867930 45424332 49041516 54951579 56780415 61057310 61301895 73268772 73562274 75707220 81735860 91585965 109903158 113560830 122114620 122603790 147124548 183171930 183905685 219806316 227121660 245207580 274757895 366343860 367811370 549515790 735622740 1099031580 5611166789 11222333578 16833500367 22444667156 28055833945 33667000734 50500501101 56111667890 67334001468 84167501835 101001002202 112223335780 168335003670 202002004404 252502505505 336670007340 505005011010 1010010022020