Search a number
-
+
10022231001321 = 3271178718376231
BaseRepresentation
bin1001000111010111101110…
…0001001100100011101001
31022111010010111210010112200
42101311323201030203221
52303201012114020241
633152052132330413
72053040140626240
oct221657341144351
938433114703480
1010022231001321
11321444a137390
12115a460a73a09
13579127aca486
14269115841957
15125a7b9a14b6
hex91d7b84c8e9

10022231001321 has 48 divisors (see below), whose sum is σ = 18071627578368. Its totient is φ = 5199738040800.

The previous prime is 10022231001313. The next prime is 10022231001323. The reversal of 10022231001321 is 12310013222001.

10022231001321 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 310 + 0 + 132 + 1 = 666.

10022231001321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022231001321 - 23 = 10022231001313 is a prime.

It is a super-2 number, since 2×100222310013212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022231001294 and 10022231001303.

It is not an unprimeable number, because it can be changed into a prime (10022231001323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8642725 + ... + 9733506.

It is an arithmetic number, because the mean of its divisors is an integer number (376492241216).

Almost surely, 210022231001321 is an apocalyptic number.

10022231001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022231001321 is a deficient number, since it is larger than the sum of its proper divisors (8049396577047).

10022231001321 is a wasteful number, since it uses less digits than its factorization.

10022231001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18377042 (or 18377039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10022231001321 its reverse (12310013222001), we get a palindrome (22332244223322).

The spelling of 10022231001321 in words is "ten trillion, twenty-two billion, two hundred thirty-one million, one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 787 2361 5509 7083 8657 16527 25971 49581 60599 77913 181797 545391 18376231 55128693 128633617 165386079 202138541 385900851 606415623 1157702553 1414969787 1819246869 4244909361 12734728083 14462093797 43386281391 101234656579 130158844173 159083031767 303703969737 477249095301 911111909211 1113581222369 1431747285903 3340743667107 10022231001321