Search a number
-
+
105421324404 = 223113148752901
BaseRepresentation
bin110001000101110011…
…0011100000001110100
3101002002222211011020110
41202023212130001310
53211400324340104
6120232504503020
710421303321004
oct1421346340164
9332088734213
10105421324404
11407886533a0
121852147aa70
139c30a37ac6
145161078004
152b20167e89
hex188b99c074

105421324404 has 96 divisors (see below), whose sum is σ = 277575524352. Its totient is φ = 30851280000.

The previous prime is 105421324397. The next prime is 105421324423. The reversal of 105421324404 is 404423124501.

It is a super-2 number, since 2×1054213244042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966354 + ... + 2019254.

It is an arithmetic number, because the mean of its divisors is an integer number (2891411712).

Almost surely, 2105421324404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105421324404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138787762176).

105421324404 is an abundant number, since it is smaller than the sum of its proper divisors (172154199948).

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

105421324404 is a wasteful number, since it uses less digits than its factorization.

105421324404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53437 (or 53435 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 105421324404 its reverse (404423124501), we get a palindrome (509844448905).

The spelling of 105421324404 in words is "one hundred five billion, four hundred twenty-one million, three hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 487 682 974 1023 1364 1461 1948 2046 2922 4092 5357 5844 10714 15097 16071 21428 30194 32142 45291 52901 60388 64284 90582 105802 158703 166067 181164 211604 317406 332134 498201 581911 634812 664268 996402 1163822 1639931 1745733 1992804 2327644 3279862 3491466 4919793 6559724 6982932 9839586 18039241 19679172 25762787 36078482 51525574 54117723 72156964 77288361 103051148 108235446 154576722 216470892 283390657 309153444 566781314 798646397 850171971 1133562628 1597292794 1700343942 2395939191 3194585588 3400687884 4791878382 8785110367 9583756764 17570220734 26355331101 35140441468 52710662202 105421324404