Search a number
-
+
10210030300000 = 2555733139291
BaseRepresentation
bin1001010010010011010100…
…1110101010101101100000
31100011001212120021222020101
42110210311032222231200
52314240120224100000
633414231223152144
72102436032421406
oct224446516525540
940131776258211
1010210030300000
11328705aa25053
12118a9325a5654
13590a5651354b
1427424d3bd476
1512a8bdc5ce6a
hex949353aab60

10210030300000 has 144 divisors (see below), whose sum is σ = 25159095433584. Its totient is φ = 4078411200000.

The previous prime is 10210030299949. The next prime is 10210030300009. The reversal of 10210030300000 is 303001201.

It is a super-3 number, since 3×102100303000003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10210030300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210030300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73230355 + ... + 73369645.

It is an arithmetic number, because the mean of its divisors is an integer number (174715940511).

Almost surely, 210210030300000 is an apocalyptic number.

10210030300000 is a gapful number since it is divisible by the number (10) 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 10210030300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579547716792).

10210030300000 is an abundant number, since it is smaller than the sum of its proper divisors (14949065133584).

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

10210030300000 is an frugal number, since it uses more digits than its factorization.

10210030300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140059 (or 140031 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10210030300000 its reverse (303001201), we get a palindrome (10210333301201).

The spelling of 10210030300000 in words is "ten trillion, two hundred ten billion, thirty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 733 800 1000 1250 1466 2000 2500 2932 3125 3665 4000 5000 5864 6250 7330 10000 11728 12500 14660 18325 20000 23456 25000 29320 36650 50000 58640 73300 91625 100000 117280 139291 146600 183250 278582 293200 366500 458125 557164 586400 696455 733000 916250 1114328 1392910 1466000 1832500 2228656 2290625 2785820 2932000 3482275 3665000 4457312 4581250 5571640 6964550 7330000 9162500 11143280 13929100 14660000 17411375 18325000 22286560 27858200 34822750 36650000 55716400 69645500 73300000 87056875 102100303 111432800 139291000 174113750 204200606 278582000 348227500 408401212 435284375 510501515 557164000 696455000 816802424 870568750 1021003030 1392910000 1633604848 1741137500 2042006060 2552507575 2785820000 3267209696 3482275000 4084012120 5105015150 6964550000 8168024240 10210030300 12762537875 13929100000 16336048480 20420060600 25525075750 40840121200 51050151500 63812689375 81680242400 102100303000 127625378750 204200606000 255250757500 319063446875 408401212000 510501515000 638126893750 1021003030000 1276253787500 2042006060000 2552507575000 5105015150000 10210030300000