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21001201122020 = 22571991806141737
BaseRepresentation
bin1001100011001101110010…
…01000011111101011100100
32202100200202211000020210112
410301212321020133223210
510223040424441401040
6112355452452512152
74265200225111250
oct461467110375344
982320684006715
1021001201122020
116767617595759
12243220b91b658
13b94535377662
1452866c007260
15266451caa365
hex1319b921fae4

21001201122020 has 96 divisors (see below), whose sum is σ = 50660182003200. Its totient is φ = 7163660528640.

The previous prime is 21001201122001. The next prime is 21001201122023. The reversal of 21001201122020 is 2022110210012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21001201121986 and 21001201122004.

It is not an unprimeable number, because it can be changed into a prime (21001201122023) by changing a digit.

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, 503158592 + ... + 503200328.

It is an arithmetic number, because the mean of its divisors is an integer number (527710229200).

Almost surely, 221001201122020 is an apocalyptic number.

21001201122020 is a gapful number since it is divisible by the number (20) 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 21001201122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25330091001600).

21001201122020 is an abundant number, since it is smaller than the sum of its proper divisors (29658980881180).

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

21001201122020 is a wasteful number, since it uses less digits than its factorization.

21001201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60013 (or 60011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21001201122020 its reverse (2022110210012), we get a palindrome (23023311332032).

The spelling of 21001201122020 in words is "twenty-one trillion, one billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1393 1990 2786 3980 5572 6965 13930 18061 27860 36122 41737 72244 83474 90305 126427 166948 180610 208685 252854 292159 361220 417370 505708 584318 632135 834740 1168636 1264270 1460795 2528540 2921590 3594139 5843180 7188278 8305663 14376556 16611326 17970695 25158973 33222652 35941390 41528315 50317946 58139641 71882780 83056630 100635892 116279282 125794865 166113260 232558564 251589730 290698205 503179460 581396410 753811957 1162792820 1507623914 3015247828 3769059785 5276683699 7538119570 10553367398 15076239140 21106734796 26383418495 52766836990 105533673980 150008579443 300017158886 600034317772 750042897215 1050060056101 1500085794430 2100120112202 3000171588860 4200240224404 5250300280505 10500600561010 21001201122020