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1021101002020 = 2251123296958573
BaseRepresentation
bin11101101101111100101…
…11001100110100100100
310121121122021200101120101
432312332113030310210
5113212203324031040
62101030510113444
7133525556211241
oct16667627146444
93547567611511
101021101002020
11364056994040
12145a907ab884
137539bab5258
14375c8a4c5c8
151b863eb509a
hexedbe5ccd24

1021101002020 has 96 divisors (see below), whose sum is σ = 2525127333120. Its totient is φ = 342918428160.

The previous prime is 1021101001961. The next prime is 1021101002041. The reversal of 1021101002020 is 202001011201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1021101001988 and 1021101002006.

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, 3332547 + ... + 3626026.

It is an arithmetic number, because the mean of its divisors is an integer number (26303409720).

Almost surely, 21021101002020 is an apocalyptic number.

1021101002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101002020 is an abundant number, since it is smaller than the sum of its proper divisors (1504026331100).

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

1021101002020 is a wasteful number, since it uses less digits than its factorization.

1021101002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958645 (or 6958643 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021101002020 its reverse (202001011201), we get a palindrome (1223102013221).

The spelling of 1021101002020 in words is "one trillion, twenty-one billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 146740 6958573 13917146 27834292 34792865 69585730 76544303 139171460 153088606 160047179 201798617 306177212 320094358 382721515 403597234 640188716 765443030 800235895 807194468 1008993085 1530886060 1600471790 1760518969 2017986170 2219784787 3200943580 3521037938 4035972340 4439569574 4641368191 7042075876 8802594845 8879139148 9282736382 11098923935 17605189690 18565472764 22197847870 23206840955 35210379380 44395695740 46413681910 51055050101 92827363820 102110100202 204220200404 255275250505 510550501010 1021101002020