Search a number
-
+
4023021300100 = 22521116372234143
BaseRepresentation
bin111010100010101110110…
…000010110100110000100
3112020121010021022220202121
4322202232300112212010
51011403121423100400
612320052300215324
7563440134555115
oct72425660264604
915217107286677
104023021300100
11131117670a120
1254b83183a544
132324a54049ba
14dca029b420c
156e9ac0c621a
hex3a8aec16984

4023021300100 has 72 divisors (see below), whose sum is σ = 9529410578688. Its totient is φ = 1462022524800.

The previous prime is 4023021300083. The next prime is 4023021300131. The reversal of 4023021300100 is 10031203204.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683629 + ... + 2917771.

It is an arithmetic number, because the mean of its divisors is an integer number (132352924704).

Almost surely, 24023021300100 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 4023021300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764705289344).

4023021300100 is an abundant number, since it is smaller than the sum of its proper divisors (5506389278588).

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

4023021300100 is a wasteful number, since it uses less digits than its factorization.

4023021300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235805 (or 2235798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4023021300100 its reverse (10031203204), we get a palindrome (4033052503304).

The spelling of 4023021300100 in words is "four trillion, twenty-three billion, twenty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1637 3274 6548 8185 16370 18007 32740 36014 40925 72028 81850 90035 163700 180070 360140 450175 900350 1800700 2234143 4468286 8936572 11170715 22341430 24575573 44682860 49151146 55853575 98302292 111707150 122877865 223414300 245755730 491511460 614389325 1228778650 2457557300 3657292091 7314584182 14629168364 18286460455 36572920910 40230213001 73145841820 80460426002 91432302275 160920852004 182864604550 201151065005 365729209100 402302130010 804604260020 1005755325025 2011510650050 4023021300100