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111302202134142 = 23328331123418721
BaseRepresentation
bin11001010011101010010000…
…001110001000111001111110
3112121002101102211121020111000
4121103222100032020321332
5104042033402221243032
61032415305322511130
732305214220156345
oct3123522016107176
9477071384536430
10111302202134142
1132511aa950a358
12105971423654a6
134a149a2696746
141d6b0abb60b5c
15cd035bb26e7c
hex653a90388e7e

111302202134142 has 64 divisors (see below), whose sum is σ = 249010334277120. Its totient is φ = 36850761043200.

The previous prime is 111302202134113. The next prime is 111302202134177. The reversal of 111302202134142 is 241431202203111.

111302202134142 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 0 + 220 + 21 + 3 + 414 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 6956659 + ... + 16462062.

It is an arithmetic number, because the mean of its divisors is an integer number (3890786473080).

Almost surely, 2111302202134142 is an apocalyptic number.

111302202134142 is an abundant number, since it is smaller than the sum of its proper divisors (137708132142978).

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

111302202134142 is a wasteful number, since it uses less digits than its factorization.

111302202134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23419326 (or 23419320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 111302202134142 its reverse (241431202203111), we get a palindrome (352733404337253).

The spelling of 111302202134142 in words is "one hundred eleven trillion, three hundred two billion, two hundred two million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 283 311 566 622 849 933 1698 1866 2547 2799 5094 5598 7641 8397 15282 16794 88013 176026 264039 528078 792117 1584234 2376351 4752702 23418721 46837442 70256163 140512326 210768489 421536978 632305467 1264610934 6627498043 7283222231 13254996086 14566444462 19882494129 21849666693 39764988258 43699333386 59647482387 65549000079 119294964774 131098000158 178942447161 196647000237 357884894322 393294000474 2061151891373 4122303782746 6183455674119 12366911348238 18550367022357 37100734044714 55651101067071 111302202134142