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1114132210002 = 23572571274293
BaseRepresentation
bin10000001101100111011…
…101000110000101010010
310221111202210022102100000
4100031213131012011102
5121223220321210002
62211454131510430
7143331143346660
oct20154735060522
93844683272300
101114132210002
1139a556650599
1215bb14758416
13810a68c7806
143bcd2357c30
151deab4ec61c
hex10367746152

1114132210002 has 96 divisors (see below), whose sum is σ = 2872115955072. Its totient is φ = 317084626944.

The previous prime is 1114132209977. The next prime is 1114132210007. The reversal of 1114132210002 is 2000122314111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1114132210007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237168 + ... + 1511460.

It is an arithmetic number, because the mean of its divisors is an integer number (29917874532).

Almost surely, 21114132210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114132210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436057977536).

1114132210002 is an abundant number, since it is smaller than the sum of its proper divisors (1757983745070).

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

1114132210002 is a wasteful number, since it uses less digits than its factorization.

1114132210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274574 (or 1274562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1114132210002 its reverse (2000122314111), we get a palindrome (3114254524113).

The spelling of 1114132210002 in words is "one trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 257 378 486 514 567 771 1134 1542 1701 1799 2313 3402 3598 4626 5397 6939 10794 13878 16191 20817 32382 41634 48573 62451 97146 124902 145719 291438 437157 874314 1274293 2548586 3822879 7645758 8920051 11468637 17840102 22937274 26760153 34405911 53520306 68811822 80280459 103217733 160560918 206435466 240841377 309653199 327493301 481682754 619306398 654986602 722524131 982479903 1445048262 1964959806 2167572393 2292453107 2947439709 4335144786 4584906214 5894879418 6877359321 8842319127 13754718642 17684638254 20632077963 26526957381 41264155926 53053914762 61896233889 79580872143 123792467778 159161744286 185688701667 371377403334 557066105001 1114132210002