Search a number
-
+
21102220200 = 23352167210601
BaseRepresentation
bin10011101001110010…
…100101001110101000
32000110122112212010010
4103221302211032220
5321204132021300
613405541451520
71344634624605
oct235162451650
960418485103
1021102220200
118a49720406
12410b110ba0
131cb3b55039
1410428416ac
158378dea50
hex4e9ca53a8

21102220200 has 96 divisors (see below), whose sum is σ = 65808912960. Its totient is φ = 5593536000.

The previous prime is 21102220187. The next prime is 21102220231. The reversal of 21102220200 is 202220112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 5101 + ... + 205500.

It is an arithmetic number, because the mean of its divisors is an integer number (685509510).

Almost surely, 221102220200 is an apocalyptic number.

21102220200 is a gapful number since it is divisible by the number (20) 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 21102220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904456480).

21102220200 is an abundant number, since it is smaller than the sum of its proper divisors (44706692760).

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

21102220200 is a wasteful number, since it uses less digits than its factorization.

21102220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210787 (or 210778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21102220200 its reverse (202220112), we get a palindrome (21304440312).

The spelling of 21102220200 in words is "twenty-one billion, one hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 100200 210601 421202 631803 842404 1053005 1263606 1684808 2106010 2527212 3159015 4212020 5054424 5265025 6318030 8424040 10530050 12636060 15795075 21060100 25272120 31590150 35170367 42120200 63180300 70340734 105511101 126360600 140681468 175851835 211022202 281362936 351703670 422044404 527555505 703407340 844088808 879259175 1055111010 1406814680 1758518350 2110222020 2637777525 3517036700 4220444040 5275555050 7034073400 10551110100 21102220200