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20201022120222 = 23219731375906141
BaseRepresentation
bin1001001011111011010101…
…01111110110000100011110
32122112012100222001021111200
410211331222233312010132
510121433143130321342
6110544115455500330
74153322105606136
oct445755257660436
978465328037450
1020201022120222
116489229390299
1223231155276a6
13b36c432b6578
144dba3dda7ac6
1525071ce0a94c
hex125f6abf611e

20201022120222 has 96 divisors (see below), whose sum is σ = 47044547241120. Its totient is φ = 6245955671040.

The previous prime is 20201022120221. The next prime is 20201022120299. The reversal of 20201022120222 is 22202122010202.

20201022120222 is a `hidden beast` number, since 2 + 0 + 201 + 0 + 221 + 20 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20201022120195 and 20201022120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201022120221) 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, 467272 + ... + 6373412.

It is an arithmetic number, because the mean of its divisors is an integer number (490047367095).

Almost surely, 220201022120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201022120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522273620560).

20201022120222 is an abundant number, since it is smaller than the sum of its proper divisors (26843525120898).

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

20201022120222 is a wasteful number, since it uses less digits than its factorization.

20201022120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906378 (or 5906375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20201022120222 its reverse (22202122010202), we get a palindrome (42403144130424).

The spelling of 20201022120222 in words is "twenty trillion, two hundred one billion, twenty-two million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 137 146 171 219 274 342 411 438 657 822 1233 1314 1387 2466 2603 2774 4161 5206 7809 8322 10001 12483 15618 20002 23427 24966 30003 46854 60006 90009 180018 190019 380038 570057 1140114 1710171 3420342 5906141 11812282 17718423 35436846 53155269 106310538 112216679 224433358 336650037 431148293 673300074 809141317 862296586 1009950111 1293444879 1618282634 2019900222 2427423951 2586889758 3880334637 4854847902 7282271853 7760669274 8191817567 14564543706 15373685023 16383635134 24575452701 30747370046 46121055069 49150905402 59067316141 73726358103 92242110138 118134632282 138363165207 147452716206 177201948423 276726330414 354403896846 531605845269 1063211690538 1122279006679 2244558013358 3366837020037 6733674040074 10100511060111 20201022120222