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20250213104 = 2411232263827
BaseRepresentation
bin10010110111000000…
…011011101011110000
31221021021100102002202
4102313000123223300
5312433023304404
613145224202332
71314550654112
oct226700335360
957237312082
1020250213104
118651798910
123b119093a8
131ba9493324
14da16193b2
157d7be321e
hex4b701baf0

20250213104 has 120 divisors (see below), whose sum is σ = 44967871872. Its totient is φ = 8760357760.

The previous prime is 20250213097. The next prime is 20250213107. The reversal of 20250213104 is 40131205202.

It is a super-2 number, since 2×202502131042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20250213107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24485939 + ... + 24486765.

Almost surely, 220250213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20250213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22483935936).

20250213104 is an abundant number, since it is smaller than the sum of its proper divisors (24717658768).

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

20250213104 is a wasteful number, since it uses less digits than its factorization.

20250213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 20250213104 its reverse (40131205202), we get a palindrome (60381418306).

The spelling of 20250213104 in words is "twenty billion, two hundred fifty million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 263 368 506 526 529 827 1012 1052 1058 1654 2024 2104 2116 2893 3308 4048 4208 4232 5786 5819 6049 6616 8464 9097 11572 11638 12098 13232 18194 19021 23144 23276 24196 36388 38042 46288 46552 48392 66539 72776 76084 93104 96784 133078 139127 145552 152168 209231 217501 266156 278254 304336 418462 435002 437483 532312 556508 836924 870004 874966 1064624 1113016 1530397 1673848 1740008 1749932 2226032 2392511 3060794 3347696 3480016 3499864 4785022 4812313 5002523 6121588 6999728 9570044 9624626 10005046 12243176 19140088 19249252 20010092 24486352 38280176 38498504 40020184 55027753 76997008 80040368 110055506 115058029 220111012 230116058 440222024 460232116 880444048 920464232 1265638319 1840928464 2531276638 5062553276 10125106552 20250213104