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10022130023224 = 23112986325273
BaseRepresentation
bin1001000111010111010101…
…1111111111101100111000
31022111002212110202220122011
42101311311133333230320
52303200310241220344
633152034124135304
72053034503421404
oct221656537775470
938432773686564
1010022130023224
1132143a8138010
12115a433097534
1357910cc03717
14269106278104
15125a72ba6d34
hex91d757ffb38

10022130023224 has 96 divisors (see below), whose sum is σ = 21235329586800. Its totient is φ = 4392497123840.

The previous prime is 10022130023207. The next prime is 10022130023239. The reversal of 10022130023224 is 42232003122001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10022130023195 and 10022130023204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900647852 + ... + 1900653124.

Almost surely, 210022130023224 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 10022130023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617664793400).

10022130023224 is an abundant number, since it is smaller than the sum of its proper divisors (11213199563576).

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

10022130023224 is an equidigital number, since it uses as much as digits as its factorization.

10022130023224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10022130023224 its reverse (42232003122001), we get a palindrome (52254133145225).

The spelling of 10022130023224 in words is "ten trillion, twenty-two billion, one hundred thirty million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 863 1276 1726 2552 3452 5273 6904 9493 10546 18986 21092 25027 37972 42184 50054 58003 75944 100108 116006 152917 200216 232012 275297 305834 464024 550594 611668 744769 1101188 1223336 1489538 1682087 2202376 2979076 3364174 4550599 5958152 6728348 8192459 9101198 13456696 16384918 18202396 21598301 32769836 36404792 43196602 50056589 65539672 86393204 100113178 131967371 172786408 200226356 237581311 263934742 400452712 475162622 527869484 950325244 1055738968 1451641081 1900650488 2903282162 3927166937 5806564324 7854333874 11613128648 15708667748 31417335496 43198836307 86397672614 113887841173 172795345228 227775682346 345590690456 455551364692 911102729384 1252766252903 2505532505806 5011065011612 10022130023224