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1110133131102 = 232235355790833
BaseRepresentation
bin10000001001111001000…
…101110100011101011110
310221010110002100011101200
4100021321011310131132
5121142023040143402
62205553233420330
7143130063630552
oct20117105643536
93833402304350
101110133131102
11398894236406
1215b19940a6a6
13808ba239438
143ba331a3862
151dd253aa21c
hex1027917475e

1110133131102 has 96 divisors (see below), whose sum is σ = 2561841442368. Its totient is φ = 346649791488.

The previous prime is 1110133131101. The next prime is 1110133131131. The reversal of 1110133131102 is 2011313310111.

1110133131102 is a `hidden beast` number, since 11 + 10 + 1 + 331 + 311 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110133131101) 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, 12176278 + ... + 12267110.

It is an arithmetic number, because the mean of its divisors is an integer number (26685848358).

Almost surely, 21110133131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110133131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280920721184).

1110133131102 is an abundant number, since it is smaller than the sum of its proper divisors (1451708311266).

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

1110133131102 is a wasteful number, since it uses less digits than its factorization.

1110133131102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91474 (or 91471 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1110133131102 its reverse (2011313310111), we get a palindrome (3121446441213).

The spelling of 1110133131102 in words is "one trillion, one hundred ten billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 557 954 1114 1219 1671 2438 3342 3657 5013 7314 10026 10971 12811 21942 25622 29521 38433 59042 76866 88563 90833 115299 177126 181666 230598 265689 272499 531378 544998 678983 817497 1357966 1634994 2036949 2089159 4073898 4178318 4814149 6110847 6267477 9628298 12221694 12534954 14442447 18802431 28884894 37604862 43327341 50593981 86654682 101187962 110725427 151781943 221450854 303563886 332176281 455345829 664352562 910691658 996528843 1163661563 1993057686 2327323126 2681480993 3490984689 5362961986 6981969378 8044442979 10472954067 16088885958 20945908134 24133328937 48266657874 61674062839 123348125678 185022188517 370044377034 555066565551 1110133131102