Search a number
-
+
20022122100 = 22352193512653
BaseRepresentation
bin10010101001011010…
…010101011001110100
31220200101011012001210
4102221122111121310
5312001130401400
613110435321420
71306111141551
oct225132253164
956611135053
1020022122100
118544a69752
123a69450270
131b71151c36
14d7d203a28
157c2b8a950
hex4a9695674

20022122100 has 72 divisors (see below), whose sum is σ = 60979673440. Its totient is φ = 5058218880.

The previous prime is 20022122093. The next prime is 20022122167. The reversal of 20022122100 is 122122002.

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

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 23 ways as a sum of consecutive naturals, for example, 1750627 + ... + 1762026.

Almost surely, 220022122100 is an apocalyptic number.

20022122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022122100 is an abundant number, since it is smaller than the sum of its proper divisors (40957551340).

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

20022122100 is a wasteful number, since it uses less digits than its factorization.

20022122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512689 (or 3512682 counting only the distinct ones).

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

Adding to 20022122100 its reverse (122122002), we get a palindrome (20144244102).

The spelling of 20022122100 in words is "twenty billion, twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 3512653 7025306 10537959 14050612 17563265 21075918 35126530 42151836 52689795 66740407 70253060 87816325 105379590 133480814 175632650 200221221 210759180 263448975 266961628 333702035 351265300 400442442 526897950 667404070 800884884 1001106105 1053795900 1334808140 1668510175 2002212210 3337020350 4004424420 5005530525 6674040700 10011061050 20022122100