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4103002134 = 2337111975009
BaseRepresentation
bin1111010010001110…
…1101100000010110
3101120221112002211000
43310203231200112
531400332032014
61515045324130
7203450641230
oct36443554026
911527462730
104103002134
111816046260
12966106646
1350507681a
142accc7250
1519031e509
hexf48ed816

4103002134 has 128 divisors (see below), whose sum is σ = 11427609600. Its totient is φ = 1060093440.

The previous prime is 4103002133. The next prime is 4103002151. The reversal of 4103002134 is 4312003014.

4103002134 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103002133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816622 + ... + 821630.

It is an arithmetic number, because the mean of its divisors is an integer number (89278200).

Almost surely, 24103002134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103002134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713804800).

4103002134 is an abundant number, since it is smaller than the sum of its proper divisors (7324607466).

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

4103002134 is a wasteful number, since it uses less digits than its factorization.

4103002134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5235 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4103002134 is about 64054.6808125683. The cubic root of 4103002134 is about 1600.9112171515.

Adding to 4103002134 its reverse (4312003014), we get a palindrome (8415005148).

The spelling of 4103002134 in words is "four billion, one hundred three million, two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 197 198 231 297 378 394 462 591 594 693 1182 1379 1386 1773 2079 2167 2758 3546 4137 4158 4334 5009 5319 6501 8274 10018 10638 12411 13002 15027 15169 19503 24822 30054 30338 35063 37233 39006 45081 45507 55099 58509 70126 74466 90162 91014 105189 110198 117018 135243 136521 165297 210378 270486 273042 315567 330594 385693 409563 495891 631134 771386 819126 946701 986773 991782 1157079 1487673 1893402 1973546 2314158 2960319 2975346 3471237 5920638 6907411 6942474 8880957 10413711 10854503 13814822 17761914 20722233 20827422 21709006 26642871 32563509 41444466 53285742 62166699 65127018 75981521 97690527 124333398 151963042 186500097 195381054 227944563 293071581 373000194 455889126 586143162 683833689 1367667378 2051501067 4103002134