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11323103100102 = 23229479190723747
BaseRepresentation
bin1010010011000101110110…
…0010011011110011000110
31111002110220112010210101200
42210301131202123303012
52441004203343200402
640025432312203330
72246032023211653
oct244613542336306
944073815123350
1011323103100102
113676112564272
12132a5b0399546
136419c179c6a1
142b2080b62c2a
1514981724121c
hexa4c5d89bcc6

11323103100102 has 96 divisors (see below), whose sum is σ = 25446760934400. Its totient is φ = 3634549082304.

The previous prime is 11323103100047. The next prime is 11323103100103. The reversal of 11323103100102 is 20100130132311.

11323103100102 is a `hidden beast` number, since 1 + 1 + 32 + 310 + 310 + 0 + 10 + 2 = 666.

11323103100102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113231031001023 (a number of 40 digits) contains 333 as substring.

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 (11323103100103) 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, 476810593 + ... + 476834339.

It is an arithmetic number, because the mean of its divisors is an integer number (265070426400).

Almost surely, 211323103100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323103100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723380467200).

11323103100102 is an abundant number, since it is smaller than the sum of its proper divisors (14123657834298).

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

11323103100102 is a wasteful number, since it uses less digits than its factorization.

11323103100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26170 (or 26167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11323103100102 its reverse (20100130132311), we get a palindrome (31423233232413).

The spelling of 11323103100102 in words is "eleven trillion, three hundred twenty-three billion, one hundred three million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 479 522 958 1437 1907 2874 3814 4311 5721 8622 11442 13891 17163 23747 27782 34326 41673 47494 55303 71241 83346 110606 125019 142482 165909 213723 250038 331818 427446 497727 688663 913453 995454 1377326 1826906 2065989 2740359 4131978 5480718 6197967 8221077 11374813 12395934 16442154 22749626 26490137 34124439 45285529 52980274 68248878 79470411 90571058 102373317 135856587 158940822 204746634 238411233 271713174 329869577 407569761 476822466 659739154 815139522 989608731 1313280341 1979217462 2626560682 2968826193 3939841023 5937652386 7879682046 11819523069 21691768391 23639046138 43383536782 65075305173 130150610346 195225915519 390451831038 629061283339 1258122566678 1887183850017 3774367700034 5661551550051 11323103100102