Search a number
-
+
200200001100 = 223521160666667
BaseRepresentation
bin1011101001110011011…
…0011001011001001100
3201010202021121210102120
42322130312121121030
511240002200013400
6231545352452540
720315066634411
oct2723466313114
9633667553376
10200200001100
11779a4754a70
12329726aa150
1315b568a6b18
1499928a4108
15531accdca0
hex2e9cd9964c

200200001100 has 72 divisors (see below), whose sum is σ = 631904013888. Its totient is φ = 48533332800.

The previous prime is 200200001069. The next prime is 200200001107. The reversal of 200200001100 is 1100002002.

It is a happy number.

200200001100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200200001107) 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, 30330034 + ... + 30336633.

Almost surely, 2200200001100 is an apocalyptic number.

200200001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200001100 is an abundant number, since it is smaller than the sum of its proper divisors (431704012788).

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

200200001100 is a wasteful number, since it uses less digits than its factorization.

200200001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60666695 (or 60666688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200200001100 its reverse (1100002002), we get a palindrome (201300003102).

The spelling of 200200001100 in words is "two hundred billion, two hundred million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 60666667 121333334 182000001 242666668 303333335 364000002 606666670 667333337 728000004 910000005 1213333340 1334666674 1516666675 1820000010 2002000011 2669333348 3033333350 3336666685 3640000020 4004000022 4550000025 6066666700 6673333370 8008000044 9100000050 10010000055 13346666740 16683333425 18200000100 20020000110 33366666850 40040000220 50050000275 66733333700 100100000550 200200001100