Search a number
-
+
1010200100022 = 2323711314239433
BaseRepresentation
bin11101011001101001001…
…11100011110010110110
310120120111120201012020100
432230310213203302312
5113022342211200042
62052025102014530
7132661462112661
oct16546447436266
93516446635210
101010200100022
1135a472691023
12143949b77446
1374352576999
1436c72db66d8
151b426e9d24c
hexeb349e3cb6

1010200100022 has 96 divisors (see below), whose sum is σ = 2269650135168. Its totient is φ = 324470458368.

The previous prime is 1010200099999. The next prime is 1010200100047. The reversal of 1010200100022 is 2200010020101.

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 = 1010200099977 and 1010200100013.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 107087418 + ... + 107096850.

It is an arithmetic number, because the mean of its divisors is an integer number (23642188908).

Almost surely, 21010200100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010200100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134825067584).

1010200100022 is an abundant number, since it is smaller than the sum of its proper divisors (1259450035146).

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

1010200100022 is a wasteful number, since it uses less digits than its factorization.

1010200100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11014 (or 11011 counting only the distinct ones).

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

Adding to 1010200100022 its reverse (2200010020101), we get a palindrome (3210210120123).

The spelling of 1010200100022 in words is "one trillion, ten billion, two hundred million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 666 678 1017 1423 2034 2846 4181 4269 8362 8538 9433 12543 12807 18866 25086 25614 28299 37629 52651 56598 75258 84897 105302 157953 160799 169794 315906 321598 349021 473859 482397 698042 947718 964794 1047063 1065929 1447191 2094126 2131858 2894382 3141189 3197787 5949563 6282378 6395574 9593361 11899126 13423159 17848689 19186722 26846318 35697378 39439373 40269477 53546067 78878746 80538954 107092134 118318119 120808431 236636238 241616862 354954357 496656883 709908714 993313766 1489970649 1516816967 2979941298 3033633934 4469911947 4550450901 8939823894 9100901802 13651352703 27302705406 56122227779 112244455558 168366683337 336733366674 505100050011 1010200100022