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22142101501354 = 22947611373472801
BaseRepresentation
bin1010000100011010111000…
…00110000011010110101010
32220101202122010100120021111
411002031130012003112222
510400234010441020404
6115031535131300534
74443466626245242
oct502153406032652
986352563316244
1022142101501354
11706745a06603a
122597354baa74a
13c47cb6902403
1456797d496b22
15285e782e7104
hex14235c1835aa

22142101501354 has 128 divisors (see below), whose sum is σ = 36041420344320. Its totient is φ = 10182165504000.

The previous prime is 22142101501349. The next prime is 22142101501357. The reversal of 22142101501354 is 45310510124122.

It is not an unprimeable number, because it can be changed into a prime (22142101501357) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7905068754 + ... + 7905071554.

It is an arithmetic number, because the mean of its divisors is an integer number (281573596440).

Almost surely, 222142101501354 is an apocalyptic number.

22142101501354 is a deficient number, since it is larger than the sum of its proper divisors (13899318842966).

22142101501354 is a wasteful number, since it uses less digits than its factorization.

22142101501354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 22142101501354 its reverse (45310510124122), we get a palindrome (67452611625476).

The spelling of 22142101501354 in words is "twenty-two trillion, one hundred forty-two billion, one hundred one million, five hundred one thousand, three hundred fifty-four".

Divisors: 1 2 29 47 58 61 94 122 137 274 347 694 1363 1769 2726 2801 2867 3538 3973 5602 5734 6439 7946 8357 10063 12878 16309 16714 20126 21167 32618 42334 47539 81229 83143 95078 131647 162458 166286 170861 186731 242353 263294 341722 373462 383737 392779 472961 484706 613843 767474 785558 945922 971947 994849 1227686 1378631 1943894 1989698 2234333 2757262 2899879 3817763 4468666 4954969 5799758 7635526 8030467 9909938 11128373 11390591 16060934 18035639 22256746 22781182 23407957 28186463 28850621 36071278 45681509 46815914 56372926 57701242 59288767 64795657 84096491 91363018 118577534 129591314 133156739 136294313 168192982 232883543 266313478 272588626 465767086 523033531 678830753 1046067062 1100173979 1324763761 1357661506 1719374243 2200347958 2649527522 2786572049 3438748486 3861545431 3952535077 5573144098 6258366733 7723090862 7905070154 8122561079 12516733466 16245122158 31905045391 63810090782 80810589421 161621178842 181492635257 235554271291 362985270514 381760370713 471108542582 763520741426 11071050750677 22142101501354