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20421024333400 = 23522693119121697
BaseRepresentation
bin1001010010010101000111…
…11001101011111001011000
32200022020020022000200011101
410221022203321223321120
510134034224212132100
6111233142234441144
74205241006555355
oct451124371537130
980266208020141
1020421024333400
116563564952289
1223598938931b4
13b519045a6832
1450855078962c
152562e73d686a
hex1292a3e6be58

20421024333400 has 96 divisors (see below), whose sum is σ = 47671053768000. Its totient is φ = 8135367864320.

The previous prime is 20421024333397. The next prime is 20421024333401. The reversal of 20421024333400 is 433342012402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421024333401) 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 23 ways as a sum of consecutive naturals, for example, 167741352 + ... + 167863048.

It is an arithmetic number, because the mean of its divisors is an integer number (496573476750).

Almost surely, 220421024333400 is an apocalyptic number.

20421024333400 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 20421024333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23835526884000).

20421024333400 is an abundant number, since it is smaller than the sum of its proper divisors (27250029434600).

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

20421024333400 is a wasteful number, since it uses less digits than its factorization.

20421024333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125101 (or 125092 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 20421024333400 its reverse (433342012402), we get a palindrome (20854366345802).

The spelling of 20421024333400 in words is "twenty trillion, four hundred twenty-one billion, twenty-four million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 3119 5380 6238 6725 10760 12476 13450 15595 24952 26900 31190 53800 62380 77975 121697 124760 155950 243394 311900 486788 608485 623800 839011 973576 1216970 1678022 2433940 3042425 3356044 4195055 4867880 6084850 6712088 8390110 12169700 16780220 20975275 24339400 32736493 33560440 41950550 65472986 83901100 130945972 163682465 167802200 261891944 327364930 379572943 654729860 759145886 818412325 1309459720 1518291772 1636824650 1897864715 3036583544 3273649300 3795729430 6547298600 7591458860 9489323575 15182917720 18978647150 37957294300 75914588600 102105121667 204210243334 408420486668 510525608335 816840973336 1021051216670 2042102433340 2552628041675 4084204866680 5105256083350 10210512166700 20421024333400