Search a number
-
+
105522101124 = 223111942074203
BaseRepresentation
bin110001001000110011…
…0110111101110000100
3101002101000110010220120
41202101212313232010
53212102124213444
6120250504501540
710423636026456
oct1422146675604
9332330403816
10105522101124
114082a525440
121854b17a8b0
139c48890cbb
1451705cc2d6
152b28e22b19
hex18919b7b84

105522101124 has 48 divisors (see below), whose sum is σ = 282738650880. Its totient is φ = 30293425440.

The previous prime is 105522101119. The next prime is 105522101131. The reversal of 105522101124 is 421101225501.

It is a happy number.

It is a super-2 number, since 2×1055221011242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105522101094 and 105522101103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21034594 + ... + 21039609.

It is an arithmetic number, because the mean of its divisors is an integer number (5890388560).

Almost surely, 2105522101124 is an apocalyptic number.

It is an amenable number.

105522101124 is an abundant number, since it is smaller than the sum of its proper divisors (177216549756).

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

105522101124 is a wasteful number, since it uses less digits than its factorization.

105522101124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42074240 (or 42074238 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 105522101124 its reverse (421101225501), we get a palindrome (526623326625).

The spelling of 105522101124 in words is "one hundred five billion, five hundred twenty-two million, one hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 42074203 84148406 126222609 168296812 252445218 462816233 504890436 799409857 925632466 1388448699 1598819714 1851264932 2398229571 2776897398 3197639428 4796459142 5553794796 8793508427 9592918284 17587016854 26380525281 35174033708 52761050562 105522101124