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10020122020 = 2254167271673
BaseRepresentation
bin10010101010011111…
…01110110110100100
3221212022121221100101
421111033232312210
5131010122401040
64334141553444
7503210426506
oct112517566644
927768557311
1010020122020
114282108a87
121b37875884
13c38c142ac
146b0abdd76
153d9a3509a
hex2553eeda4

10020122020 has 96 divisors (see below), whose sum is σ = 21990560256. Its totient is φ = 3832012800.

The previous prime is 10020122003. The next prime is 10020122023. The reversal of 10020122020 is 2022102001.

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 = 10020121988 and 10020122006.

It is not an unprimeable number, because it can be changed into a prime (10020122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14888404 + ... + 14889076.

It is an arithmetic number, because the mean of its divisors is an integer number (229068336).

Almost surely, 210020122020 is an apocalyptic number.

10020122020 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 10020122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995280128).

10020122020 is an abundant number, since it is smaller than the sum of its proper divisors (11970438236).

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

10020122020 is a wasteful number, since it uses less digits than its factorization.

10020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020122020 its reverse (2022102001), we get a palindrome (12042224021).

It can be divided in two parts, 100201 and 22020, that added together give a palindrome (122221).

The spelling of 10020122020 in words is "ten billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 67 82 134 164 205 268 271 335 410 542 670 673 820 1084 1340 1346 1355 2692 2710 2747 3365 5420 5494 6730 10988 11111 13460 13735 18157 22222 27470 27593 36314 44444 45091 54940 55186 55555 72628 90182 90785 110372 111110 137965 180364 181570 182383 222220 225455 275930 363140 364766 450910 551860 729532 744437 901820 911915 1488874 1823830 1848731 2977748 3647660 3697462 3722185 7394924 7444370 7477703 9243655 12219661 14888740 14955406 18487310 24439322 29910812 36974620 37388515 48878644 61098305 74777030 122196610 149554060 244393220 501006101 1002012202 2004024404 2505030505 5010061010 10020122020