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22100122232331 = 31113107481452677
BaseRepresentation
bin1010000011001100101011…
…11011110110011000001011
32220020202021111221202002220
411001212111323312120023
510344042022242413311
6115000353410025123
74440452426324643
oct501462573663013
986222244852086
1022100122232331
11705067793a980
12258b19a2781a3
13c44056783860
1456591a0a9523
15284d1cb95206
hex141995ef660b

22100122232331 has 32 divisors (see below), whose sum is σ = 34941909558528. Its totient is φ = 12248156077440.

The previous prime is 22100122232303. The next prime is 22100122232347. The reversal of 22100122232331 is 13323222100122.

It is not a de Polignac number, because 22100122232331 - 210 = 22100122231307 is a prime.

It is a super-2 number, since 2×221001222323312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22100122232231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240680436 + ... + 240772241.

It is an arithmetic number, because the mean of its divisors is an integer number (1091934673704).

Almost surely, 222100122232331 is an apocalyptic number.

22100122232331 is a deficient number, since it is larger than the sum of its proper divisors (12841787326197).

22100122232331 is a wasteful number, since it uses less digits than its factorization.

22100122232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481452811.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22100122232331 its reverse (13323222100122), we get a palindrome (35423344332453).

The spelling of 22100122232331 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 107 143 321 429 1177 1391 3531 4173 15301 45903 481452677 1444358031 5295979447 6258884801 15887938341 18776654403 51515436439 68847732811 154546309317 206543198433 566669800829 669700673707 1700009402487 2009102021121 7366707410777 22100122232331