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22131244213122 = 23111994313909593
BaseRepresentation
bin1010000100000110101001…
…11100110010001110000010
32220100201121110110011210010
411002003110330302032002
510400044242004304442
6115022541522045350
74442633601645552
oct502032474621602
986321543404703
1022131244213122
117062898441760
122595224aa9856
13c46c764244c5
1456722d535162
15285a40047b9c
hex1420d4f32382

22131244213122 has 64 divisors (see below), whose sum is σ = 48641604710400. Its totient is φ = 6657253257600.

The previous prime is 22131244213087. The next prime is 22131244213151.

22131244213122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22131244213122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3705958 + ... + 7615550.

It is an arithmetic number, because the mean of its divisors is an integer number (760025073600).

Almost surely, 222131244213122 is an apocalyptic number.

22131244213122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22131244213122 is an abundant number, since it is smaller than the sum of its proper divisors (26510360497278).

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

22131244213122 is a wasteful number, since it uses less digits than its factorization.

22131244213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910239.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2213124 and 4213122, that added together give a palindrome (6426246).

The spelling of 22131244213122 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred forty-four million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 199 398 431 597 862 1194 1293 2189 2586 4378 4741 6567 9482 13134 14223 28446 85769 171538 257307 514614 943459 1886918 2830377 3909593 5660754 7819186 11728779 23457558 43005523 86011046 129016569 258033138 778009007 1556018014 1685034583 2334027021 3370069166 4668054042 5055103749 8558099077 10110207498 17116198154 18535380413 25674297231 37070760826 51348594462 55606141239 111212282478 335321882017 670643764034 1005965646051 2011931292102 3688540702187 7377081404374 11065622106561 22131244213122