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10023122223331 = 741612713116793
BaseRepresentation
bin1001000111011011000010…
…1000111100000011100011
31022111012102121202220022021
42101312300220330003203
52303204323242121311
633152320410322311
72053101212115160
oct221666050740343
938435377686267
1010023122223331
1132148672136a8
12115a66b429397
1357923a63c589
1426919bd55067
15125aced47171
hex91db0a3c0e3

10023122223331 has 64 divisors (see below), whose sum is σ = 12011023245312. Its totient is φ = 8186261760000.

The previous prime is 10023122223313. The next prime is 10023122223347. The reversal of 10023122223331 is 13332222132001.

It is a cyclic number.

It is not a de Polignac number, because 10023122223331 - 237 = 9885683269859 is a prime.

It is a super-2 number, since 2×100231222233312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023122223296 and 10023122223305.

It is not an unprimeable number, because it can be changed into a prime (10023122223311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1475504071 + ... + 1475510863.

It is an arithmetic number, because the mean of its divisors is an integer number (187672238208).

Almost surely, 210023122223331 is an apocalyptic number.

10023122223331 is a deficient number, since it is larger than the sum of its proper divisors (1987901021981).

10023122223331 is a wasteful number, since it uses less digits than its factorization.

10023122223331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10023122223331 its reverse (13332222132001), we get a palindrome (23355344355332).

The spelling of 10023122223331 in words is "ten trillion, twenty-three billion, one hundred twenty-two million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 7 41 61 271 287 311 427 1897 2177 2501 6793 11111 12751 16531 17507 18971 47551 77777 84281 89257 115717 132797 278513 414373 589967 677771 777811 1840903 1949591 2112623 2900611 3455521 4744397 5141141 5444677 12886321 14788361 16989293 24188647 35987987 75477023 86617543 112295083 118925051 128870003 210786781 528339161 572520833 606322801 786065581 902090021 1475507467 4007645831 4604098403 5283670123 23473354153 32228688821 34923770813 36985690861 164313479071 244466395691 1431874603333 10023122223331