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100222000011 = 32723722692707
BaseRepresentation
bin101110101010110110…
…0100101101110001011
3100120200122101010000100
41131111230211232023
53120223313000021
6114012533140443
710145410641600
oct1352554455613
9316618333010
10100222000011
113955a784a91
121751018a723
1395b27ca5b3
144bca72c6a7
15291898c626
hex1755b25b8b

100222000011 has 72 divisors (see below), whose sum is σ = 173091731280. Its totient is φ = 55676750976.

The previous prime is 100221999973. The next prime is 100222000019. The reversal of 100222000011 is 110000222001.

It is not a de Polignac number, because 100222000011 - 211 = 100221997963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100221999957 and 100222000002.

It is not an unprimeable number, because it can be changed into a prime (100222000019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37021920 + ... + 37024626.

Almost surely, 2100222000011 is an apocalyptic number.

100222000011 is a deficient number, since it is larger than the sum of its proper divisors (72869731269).

100222000011 is a wasteful number, since it uses less digits than its factorization.

100222000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100222000011 its reverse (110000222001), we get a palindrome (210222222012).

The spelling of 100222000011 in words is "one hundred billion, two hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2269 2331 2707 5439 6807 8121 15883 16317 18949 20421 24363 47649 56847 83953 100159 111181 132643 142947 170541 251859 300477 333543 397929 587671 701113 755577 901431 1000629 1193787 1763013 2103339 4113697 4907791 5289039 6142183 6310017 12341091 14723373 18426549 37023273 42995281 44170119 55279647 128985843 227260771 300966967 386957529 681782313 902900901 1590825397 2045346939 2708702703 4772476191 11135777779 14317428573 33407333337 100222000011