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20211022011020 = 2251997569963653
BaseRepresentation
bin1001001100001101111101…
…10010011001101010001100
32122120011011212121100211112
410212012332302121222030
510122114133113323040
6110552452040111152
74154124652354541
oct446067662315214
978504155540745
1020211022011020
1164924a0030255
1223250464654b8
13b37b77c66109
144dc30c0dcbc8
15250b05c96365
hex1261bec99a8c

20211022011020 has 96 divisors (see below), whose sum is σ = 45216958449600. Its totient is φ = 7566626340864.

The previous prime is 20211022011017. The next prime is 20211022011041. The reversal of 20211022011020 is 2011022011202.

It is a junction number, because it is equal to n+sod(n) for n = 20211022010986 and 20211022011004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20491514 + ... + 21455166.

It is an arithmetic number, because the mean of its divisors is an integer number (471009983850).

Almost surely, 220211022011020 is an apocalyptic number.

20211022011020 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 20211022011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608479224800).

20211022011020 is an abundant number, since it is smaller than the sum of its proper divisors (25005936438580).

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

20211022011020 is a wasteful number, since it uses less digits than its factorization.

20211022011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964347 (or 964345 counting only the distinct ones).

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

Adding to 20211022011020 its reverse (2011022011202), we get a palindrome (22222044022222).

The spelling of 20211022011020 in words is "twenty trillion, two hundred eleven billion, twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 380 388 485 569 970 1138 1843 1940 2276 2845 3686 5690 7372 9215 10811 11380 18430 21622 36860 43244 54055 55193 108110 110386 216220 220772 275965 551930 963653 1048667 1103860 1927306 2097334 3854612 4194668 4818265 5243335 9636530 10486670 18309407 19273060 20973340 36618814 73237628 91547035 93474341 183094070 186948682 366188140 373897364 467371705 548318557 934743410 1096637114 1776012479 1869486820 2193274228 2741592785 3552024958 5483185570 7104049916 8880062395 10418052583 10966371140 17760124790 20836105166 35520249580 41672210332 52090262915 53186900029 104180525830 106373800058 208361051660 212747600116 265934500145 531869000290 1010551100551 1063738000580 2021102201102 4042204402204 5052755502755 10105511005510 20211022011020