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10030300110000 = 243254111447779
BaseRepresentation
bin1001000111110101110001…
…1110011001110010110000
31022111212221212020022201200
42101331130132121302300
52303314023312010000
633155504541331200
72053444121131362
oct221753436316260
938455855208650
1010030300110000
11321790aa17145
12115bb33266b00
13579b127594b1
1426967d378d32
15125da009d500
hex91f5c799cb0

10030300110000 has 150 divisors (see below), whose sum is σ = 35077408620540. Its totient is φ = 2674746672000.

The previous prime is 10030300109897. The next prime is 10030300110001. The reversal of 10030300110000 is 1100303001.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10030300110001) 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 29 ways as a sum of consecutive naturals, for example, 55633890 + ... + 55813889.

Almost surely, 210030300110000 is an apocalyptic number.

10030300110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10030300110000 is an abundant number, since it is smaller than the sum of its proper divisors (25047108510540).

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

10030300110000 is a wasteful number, since it uses less digits than its factorization.

10030300110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111447813 (or 111447789 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10030300110000 its reverse (1100303001), we get a palindrome (10031400413001).

It can be divided in two parts, 100303001 and 10000, that added together give a palindrome (100313001).

The spelling of 10030300110000 in words is "ten trillion, thirty billion, three hundred million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 111447779 222895558 334343337 445791116 557238895 668686674 891582232 1003030011 1114477790 1337373348 1671716685 1783164464 2006060022 2228955580 2674746696 2786194475 3343433370 4012120044 4457911160 5015150055 5349493392 5572388950 6686866740 8024240088 8358583425 8915822320 10030300110 11144777900 13373733480 13930972375 16048480176 16717166850 20060600220 22289555800 25075750275 26747466960 27861944750 33434333700 40121200440 41792917125 44579111600 50151500550 55723889500 66868667400 69654861875 80242400880 83585834250 100303001100 111447779000 125378751375 133737334800 139309723750 167171668500 200606002200 208964585625 222895558000 250757502750 278619447500 334343337000 401212004400 417929171250 501515005500 557238895000 626893756875 668686674000 835858342500 1003030011000 1114477790000 1253787513750 1671716685000 2006060022000 2507575027500 3343433370000 5015150055000 10030300110000