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1011221222020 = 225192316767433
BaseRepresentation
bin11101011011100010111…
…10110101001010000100
310120200010202010120021121
432231301132311022010
5113031440113101040
62052314300123324
7133026001365022
oct16556136651204
93520122116247
101011221222020
1135a9470210a9
12143b93b36544
1374485c9ab99
1436d2c861712
151b486952c4a
hexeb717b5284

1011221222020 has 144 divisors (see below), whose sum is σ = 2348075616768. Its totient is φ = 365298024960.

The previous prime is 1011221221991. The next prime is 1011221222023. The reversal of 1011221222020 is 202221221101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1011221221985 and 1011221222003.

It is not an unprimeable number, because it can be changed into a prime (1011221222023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14962224 + ... + 15029656.

It is an arithmetic number, because the mean of its divisors is an integer number (16306080672).

Almost surely, 21011221222020 is an apocalyptic number.

1011221222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011221222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174037808384).

1011221222020 is an abundant number, since it is smaller than the sum of its proper divisors (1336854394748).

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

1011221222020 is a wasteful number, since it uses less digits than its factorization.

1011221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67578 (or 67557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1011221222020 its reverse (202221221101), we get a palindrome (1213442443121).

The spelling of 1011221222020 in words is "one trillion, eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 67 76 95 124 134 155 190 268 310 335 361 380 589 620 670 722 1178 1273 1340 1444 1805 2077 2356 2546 2945 3610 4154 5092 5890 6365 7220 8308 10385 11191 11780 12730 20770 22382 24187 25460 39463 41540 44764 48374 55955 67433 78926 96748 111910 120935 134866 157852 197315 223820 241870 269732 337165 394630 483740 674330 749797 789260 1281227 1348660 1499594 2090423 2562454 2999188 3748985 4180846 4518011 5124908 6406135 7497970 8361692 9036022 10452115 12812270 14995940 18072044 20904230 22590055 24343313 25624540 39718037 41808460 45180110 48686626 79436074 85842209 90360220 97373252 121716565 140058341 158872148 171684418 198590185 243433130 280116682 343368836 397180370 429211045 486866260 560233364 700291705 754642703 794360740 858422090 1400583410 1509285406 1631001971 1716844180 2661108479 2801166820 3018570812 3262003942 3773213515 5322216958 6524007884 7546427030 8155009855 10644433916 13305542395 15092854060 16310019710 26611084790 32620039420 50561061101 53222169580 101122122202 202244244404 252805305505 505610611010 1011221222020