Search a number
-
+
102110211222222 = 23723116636737021
BaseRepresentation
bin10111001101111001100010…
…110111100010101011001110
3111101112122022012000120001010
4113031321202313202223032
5101340433203033102342
61001100441120430050
730336135136445100
oct2715714267425316
9441478265016033
10102110211222222
112a598774255495
12b551787178326
1344c8c4a890478
141b30236949570
15bc11c31b929c
hex5cde62de2ace

102110211222222 has 96 divisors (see below), whose sum is σ = 245373336059904. Its totient is φ = 28216256644800.

The previous prime is 102110211222127. The next prime is 102110211222223. The reversal of 102110211222222 is 222222112011201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110211222223) 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, 11788072 + ... + 18525092.

It is an arithmetic number, because the mean of its divisors is an integer number (2555972250624).

Almost surely, 2102110211222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110211222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122686668029952).

102110211222222 is an abundant number, since it is smaller than the sum of its proper divisors (143263124837682).

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

102110211222222 is a wasteful number, since it uses less digits than its factorization.

102110211222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738734 (or 6738727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102110211222222 its reverse (222222112011201), we get a palindrome (324332323233423).

The spelling of 102110211222222 in words is "one hundred two trillion, one hundred ten billion, two hundred eleven million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 1663 3038 3326 4557 4989 9114 9978 11641 23282 34923 51553 69846 81487 103106 154659 162974 244461 309318 360871 488922 721742 1082613 2165226 2526097 5052194 6737021 7578291 13474042 15156582 20211063 40422126 47159147 94318294 141477441 208847651 282954882 330114029 417695302 626542953 660228058 990342087 1253085906 1461933557 1980684174 2923867114 4385800671 8771601342 10233534899 11203665923 20467069798 22407331846 30700604697 33610997769 61401209394 67221995538 78425661461 156851322922 235276984383 347313643613 470553968766 548979630227 694627287226 1041940930839 1097959260454 1646938890681 2083881861678 2431195505291 3293877781362 4862391010582 7293586515873 14587173031746 17018368537037 34036737074074 51055105611111 102110211222222