Search a number
-
+
12200102000 = 24536100051
BaseRepresentation
bin10110101110010111…
…01100100001110000
31011111020122101200122
423113023230201300
5144441211231000
65334334305412
7611221104332
oct132713544160
934436571618
1012200102000
1151a0704229
122445958268
1311c5756388
1483a429452
154b60ea085
hex2d72ec870

12200102000 has 40 divisors (see below), whose sum is σ = 29499851472. Its totient is φ = 4880040000.

The previous prime is 12200101999. The next prime is 12200102011. The reversal of 12200102000 is 20100221.

12200102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3048026 + ... + 3052025.

Almost surely, 212200102000 is an apocalyptic number.

12200102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102000 is an abundant number, since it is smaller than the sum of its proper divisors (17299749472).

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

12200102000 is an equidigital number, since it uses as much as digits as its factorization.

12200102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100074 (or 6100058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12200102000 its reverse (20100221), we get a palindrome (12220202221).

The spelling of 12200102000 in words is "twelve billion, two hundred million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6100051 12200102 24400204 30500255 48800408 61000510 97600816 122001020 152501275 244002040 305002550 488004080 610005100 762506375 1220010200 1525012750 2440020400 3050025500 6100051000 12200102000