Search a number
-
+
3332350100000 = 255540183101
BaseRepresentation
bin110000011111011111100…
…010110100001000100000
3102210120101012121122201002
4300133133202310020200
5414044123111200000
611030505511331132
7462516512331665
oct60373742641040
912716335548632
103332350100000
111075272836a09
124599b9380aa8
131b231588a7cc
14b7402633a6c
155ba36ee78d5
hex307df8b4220

3332350100000 has 144 divisors (see below), whose sum is σ = 8220728730312. Its totient is φ = 1329600000000.

The previous prime is 3332350099937. The next prime is 3332350100039. The reversal of 3332350100000 is 10532333.

It can be written as a sum of positive squares in 12 ways, for example, as 435668642704 + 2896681457296 = 660052^2 + 1701964^2 .

It is a super-2 number, since 2×33323501000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 40058450 + ... + 40141550.

Almost surely, 23332350100000 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 3332350100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110364365156).

3332350100000 is an abundant number, since it is smaller than the sum of its proper divisors (4888378630312).

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

3332350100000 is an frugal number, since it uses more digits than its factorization.

3332350100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83537 (or 83509 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 3332350100000 its reverse (10532333), we get a palindrome (3332360632333).

The spelling of 3332350100000 in words is "three trillion, three hundred thirty-two billion, three hundred fifty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 401 500 625 800 802 1000 1250 1604 2000 2005 2500 3125 3208 4000 4010 5000 6250 6416 8020 10000 10025 12500 12832 16040 20000 20050 25000 32080 40100 50000 50125 64160 80200 83101 100000 100250 160400 166202 200500 250625 320800 332404 401000 415505 501250 664808 802000 831010 1002500 1253125 1329616 1604000 1662020 2005000 2077525 2506250 2659232 3324040 4010000 4155050 5012500 6648080 8020000 8310100 10025000 10387625 13296160 16620200 20050000 20775250 33240400 33323501 40100000 41550500 51938125 66480800 66647002 83101000 103876250 133294004 166202000 166617505 207752500 259690625 266588008 332404000 333235010 415505000 519381250 533176016 666470020 831010000 833087525 1038762500 1066352032 1332940040 1662020000 1666175050 2077525000 2665880080 3332350100 4155050000 4165437625 5331760160 6664700200 8310100000 8330875250 13329400400 16661750500 20827188125 26658800800 33323501000 41654376250 66647002000 83308752500 104135940625 133294004000 166617505000 208271881250 333235010000 416543762500 666470020000 833087525000 1666175050000 3332350100000