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100122020220 = 22353031355049
BaseRepresentation
bin101110100111110111…
…1001100100101111100
3100120102200020121112010
41131033233030211330
53120022214121340
6113555002211220
710143055062405
oct1351757144574
9316380217463
10100122020220
11395092a7762
12174a27b3b10
139597b93061
144bbb3449ac
15290ecddb80
hex174fbcc97c

100122020220 has 48 divisors (see below), whose sum is σ = 280355997600. Its totient is φ = 26697839616.

The previous prime is 100122020143. The next prime is 100122020221. The reversal of 100122020220 is 22020221001.

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 = 100122020196 and 100122020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791256 + ... + 1846304.

It is an arithmetic number, because the mean of its divisors is an integer number (5840749950).

Almost surely, 2100122020220 is an apocalyptic number.

100122020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122020220 is an abundant number, since it is smaller than the sum of its proper divisors (180233977380).

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

100122020220 is a wasteful number, since it uses less digits than its factorization.

100122020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85374 (or 85372 counting only the distinct ones).

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

Adding to 100122020220 its reverse (22020221001), we get a palindrome (122142241221).

The spelling of 100122020220 in words is "one hundred billion, one hundred twenty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 30313 55049 60626 90939 110098 121252 151565 165147 181878 220196 275245 303130 330294 363756 454695 550490 606260 660588 825735 909390 1100980 1651470 1818780 3302940 1668700337 3337400674 5006101011 6674801348 8343501685 10012202022 16687003370 20024404044 25030505055 33374006740 50061010110 100122020220