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10220112324 = 22323753712039
BaseRepresentation
bin10011000010010101…
…01000100111000100
3222101020221111110200
421201022220213010
5131412322043244
64410044250500
7511156343562
oct114112504704
928336844420
1010220112324
114374a94724
121b92840a30
13c6b497056
146cd49ca32
153ec38b669
hex2612a89c4

10220112324 has 144 divisors (see below), whose sum is σ = 27427196160. Its totient is φ = 3204714240.

The previous prime is 10220112317. The next prime is 10220112341. The reversal of 10220112324 is 42321102201.

It is a happy number.

10220112324 is a `hidden beast` number, since 10 + 220 + 112 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220112297 and 10220112306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5011297 + ... + 5013335.

It is an arithmetic number, because the mean of its divisors is an integer number (190466640).

Almost surely, 210220112324 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 10220112324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713598080).

10220112324 is an abundant number, since it is smaller than the sum of its proper divisors (17207083836).

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

10220112324 is a wasteful number, since it uses less digits than its factorization.

10220112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220112324 its reverse (42321102201), we get a palindrome (52541214525).

The spelling of 10220112324 in words is "ten billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 71 74 106 111 142 148 159 212 213 222 284 318 333 426 444 477 636 639 666 852 954 1278 1332 1908 1961 2039 2556 2627 3763 3922 4078 5254 5883 6117 7526 7844 7881 8156 10508 11289 11766 12234 15052 15762 17649 18351 22578 23532 23643 24468 31524 33867 35298 36702 45156 47286 67734 70596 73404 75443 94572 108067 135468 139231 144769 150886 216134 226329 278462 289538 301772 324201 417693 432268 434307 452658 556924 579076 648402 678987 835386 868614 905316 972603 1253079 1296804 1302921 1357974 1670772 1737228 1945206 2506158 2605842 2715948 3890412 3998479 5012316 5211684 5356453 7672757 7996958 10712906 11995437 15345514 15993916 16069359 21425812 23018271 23990874 30691028 32138718 35986311 46036542 47981748 48208077 64277436 69054813 71972622 92073084 96416154 138109626 143945244 192832308 276219252 283892009 567784018 851676027 1135568036 1703352054 2555028081 3406704108 5110056162 10220112324