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22131133113122 = 21119224239236111
BaseRepresentation
bin1010000100000110011100…
…10100111110001100100010
32220100201022201101201020022
411002003032110332030202
510400044030034104442
6115022522512513442
74442631052423055
oct502031624761442
986321281351208
1022131133113122
117062840759680
1225951b384b882
13c46c593c5567
1456721c894a9c
15285a353ee3d2
hex1420ce53e322

22131133113122 has 32 divisors (see below), whose sum is σ = 38120943513600. Its totient is φ = 9530070152400.

The previous prime is 22131133113109. The next prime is 22131133113161.

22131133113122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22131133113091 and 22131133113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93613847 + ... + 93849957.

It is an arithmetic number, because the mean of its divisors is an integer number (1191279484800).

Almost surely, 222131133113122 is an apocalyptic number.

22131133113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22131133113122 is a deficient number, since it is larger than the sum of its proper divisors (15989810400478).

22131133113122 is a wasteful number, since it uses less digits than its factorization.

22131133113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460382.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 2213113 and 3113122, that added together give a palindrome (5326235).

The spelling of 22131133113122 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 11 19 22 38 209 418 224239 236111 448478 472222 2466629 2597221 4260541 4486109 4933258 5194442 8521082 8972218 46865951 49347199 93731902 98694398 52945294529 105890589058 582398239819 1005960596051 1164796479638 2011921192102 11065566556561 22131133113122