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100200201220 = 2257838623081
BaseRepresentation
bin101110101010001100…
…1011011110000000100
3100120122010100121200201
41131110121123300010
53120202222414340
6114010434020244
710145024441350
oct1352431336004
9316563317621
10100200201220
1139549446259
1217504a17684
1395ab1374c2
144bc7896460
152916ad379a
hex175465bc04

100200201220 has 48 divisors (see below), whose sum is σ = 243377866368. Its totient is φ = 33940442880.

The previous prime is 100200201217. The next prime is 100200201221. The reversal of 100200201220 is 22102002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100200201197 and 100200201206.

It is not an unprimeable number, because it can be changed into a prime (100200201221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4299921 + ... + 4323160.

It is an arithmetic number, because the mean of its divisors is an integer number (5070372216).

Almost surely, 2100200201220 is an apocalyptic number.

100200201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200201220 is an abundant number, since it is smaller than the sum of its proper divisors (143177665148).

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

100200201220 is a wasteful number, since it uses less digits than its factorization.

100200201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623180 (or 8623178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100200201220 its reverse (22102002001), we get a palindrome (122302203221).

The spelling of 100200201220 in words is "one hundred billion, two hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 8623081 17246162 34492324 43115405 60361567 86230810 120723134 172461620 241446268 301807835 603615670 715715723 1207231340 1431431446 2862862892 3578578615 5010010061 7157157230 10020020122 14314314460 20040040244 25050050305 50100100610 100200201220