Search a number
-
+
20211210101034 = 2322938999534173
BaseRepresentation
bin1001001100001110010011…
…11111111010000100101010
32122120011122222112022211100
410212013021333322010222
510122120024241213114
6110552522435342230
74154132425166121
oct446071177720452
978504588468740
1020211210101034
116492587219047
122325099451976
13b37ba7c10394
144dc3290a0ab8
15250b1754b909
hex1261c9ffa12a

20211210101034 has 48 divisors (see below), whose sum is σ = 45417443596200. Its totient is φ = 6488035467648.

The previous prime is 20211210101009. The next prime is 20211210101051. The reversal of 20211210101034 is 43010101211202.

It can be written as a sum of positive squares in 4 ways, for example, as 12029625140625 + 8181584960409 = 3468375^2 + 2860347^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20211210100998 and 20211210101016.

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 23 ways as a sum of consecutive naturals, for example, 49564029 + ... + 49970144.

Almost surely, 220211210101034 is an apocalyptic number.

20211210101034 is an abundant number, since it is smaller than the sum of its proper divisors (25206233495166).

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

20211210101034 is a wasteful number, since it uses less digits than its factorization.

20211210101034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99534599 (or 99534596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20211210101034 its reverse (43010101211202), we get a palindrome (63221311312236).

The spelling of 20211210101034 in words is "twenty trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 389 522 778 1167 2334 3501 7002 11281 22562 33843 67686 101529 203058 99534173 199068346 298602519 597205038 895807557 1791615114 2886491017 5772982034 8659473051 17318946102 25978419153 38718793297 51956838306 77437586594 116156379891 232312759782 348469139673 696938279346 1122845005613 2245690011226 3368535016839 6737070033678 10105605050517 20211210101034