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100021112220 = 223513271256231
BaseRepresentation
bin101110100100110111…
…0010000110110011100
3100120011122100221202210
41131021232100312130
53114320401042340
6113540555320420
710140421266111
oct1351156206634
9316148327683
10100021112220
1139467346017
1217474a50110
13957ccc2193
144babb98908
15290600a180
hex1749b90d9c

100021112220 has 48 divisors (see below), whose sum is σ = 280270384128. Its totient is φ = 26652175680.

The previous prime is 100021112171. The next prime is 100021112227. The reversal of 100021112220 is 22211120001.

100021112220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 100021112196 and 100021112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548496 + ... + 707735.

It is an arithmetic number, because the mean of its divisors is an integer number (5838966336).

Almost surely, 2100021112220 is an apocalyptic number.

100021112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021112220 is an abundant number, since it is smaller than the sum of its proper divisors (180249271908).

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

100021112220 is a wasteful number, since it uses less digits than its factorization.

100021112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257570 (or 1257568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021112220 its reverse (22211120001), we get a palindrome (122232232221).

The spelling of 100021112220 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1327 2654 3981 5308 6635 7962 13270 15924 19905 26540 39810 79620 1256231 2512462 3768693 5024924 6281155 7537386 12562310 15074772 18843465 25124620 37686930 75373860 1667018537 3334037074 5001055611 6668074148 8335092685 10002111222 16670185370 20004222444 25005278055 33340370740 50010556110 100021112220