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100200000222 = 232726311172707
BaseRepresentation
bin101110101010001100…
…0101010101011011110
3100120122002222101222100
41131110120222223132
53120202200001342
6114010425425530
710145022643350
oct1352430525336
9316562871870
10100200000222
1139549319243
121750493b2a6
1395ab096b7a
144bc78430d0
152916a93e4c
hex175462aade

100200000222 has 96 divisors (see below), whose sum is σ = 249372744192. Its totient is φ = 28483659072.

The previous prime is 100200000191. The next prime is 100200000223. The reversal of 100200000222 is 222000002001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200000223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37013793 + ... + 37016499.

It is an arithmetic number, because the mean of its divisors is an integer number (2597632752).

Almost surely, 2100200000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124686372096).

100200000222 is an abundant number, since it is smaller than the sum of its proper divisors (149172743970).

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

100200000222 is a wasteful number, since it uses less digits than its factorization.

100200000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100200000222 its reverse (222000002001), we get a palindrome (322200002223).

The spelling of 100200000222 in words is "one hundred billion, two hundred million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 526 789 1117 1578 1841 2234 2367 2707 3351 3682 4734 5414 5523 6702 7819 8121 10053 11046 15638 16242 16569 18949 20106 23457 24363 33138 37898 46914 48726 56847 70371 113694 140742 170541 293771 341082 587542 711941 881313 1423882 1762626 2056397 2135823 2643939 3023719 4112794 4271646 4983587 5287878 6047438 6169191 6407469 9071157 9967174 12338382 12814938 14950761 18142314 18507573 21166033 27213471 29901522 37015146 42332066 44852283 54426942 63498099 89704566 126996198 190494297 380988594 795238097 1590476194 2385714291 4771428582 5566666679 7157142873 11133333358 14314285746 16700000037 33400000074 50100000111 100200000222