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22141044014122 = 21131121347875591
BaseRepresentation
bin1010000100011000111010…
…00100000011110000101010
32220101122220102111122111201
411002030131010003300222
510400224324231422442
6115031242153514414
74443431465614135
oct502143504036052
986348812448451
1022141044014122
117066a67148250
1225970baa12a0a
13c47b787b7c17
145678bcc6321c
15285e1555c7b7
hex14231d103c2a

22141044014122 has 64 divisors (see below), whose sum is σ = 37444882341888. Its totient is φ = 9727659864000.

The previous prime is 22141044014099. The next prime is 22141044014191.

22141044014122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3960119547 + ... + 3960125137.

It is an arithmetic number, because the mean of its divisors is an integer number (585076286592).

Almost surely, 222141044014122 is an apocalyptic number.

22141044014122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22141044014122 is a deficient number, since it is larger than the sum of its proper divisors (15303838327766).

22141044014122 is a wasteful number, since it uses less digits than its factorization.

22141044014122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2214104 and 4014122, that added together give a palindrome (6228226).

The spelling of 22141044014122 in words is "twenty-two trillion, one hundred forty-one billion, forty-four million, fourteen thousand, one hundred twenty-two".

Divisors: 1 2 11 22 31 62 341 682 1213 2426 4787 5591 9574 11182 13343 26686 37603 52657 61501 75206 105314 123002 148397 173321 296794 346642 413633 827266 1632367 1906531 3264734 3813062 5806631 6781883 11613262 13563766 26764117 53528234 63872941 74600713 127745882 149201426 180005561 210238373 294405287 360011122 420476746 588810574 829687627 1659375254 1980061171 2312622103 3960122342 4625244206 9126563897 18253127794 32464873921 64929747842 357113613131 714227226262 1006411091551 2012822183102 11070522007061 22141044014122