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2102103234 = 2327211219697
BaseRepresentation
bin111110101001011…
…1000110011000010
312102111110220112100
41331102320303002
513301114300414
6544331211230
7103043403600
oct17522706302
95374426470
102102103234
11989645300
124a7ba6b16
1327667628a
1415d276870
15c4830609
hex7d4b8cc2

2102103234 has 108 divisors (see below), whose sum is σ = 5823890982. Its totient is φ = 545973120.

The previous prime is 2102103233. The next prime is 2102103253. The reversal of 2102103234 is 4323012012.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 73051209 = 45045^2 + 8547^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102103233) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 96874 + ... + 116570.

Almost surely, 22102103234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102103234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911945491).

2102103234 is an abundant number, since it is smaller than the sum of its proper divisors (3721787748).

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

2102103234 is a wasteful number, since it uses less digits than its factorization.

2102103234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19741 (or 19720 counting only the distinct ones).

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

The square root of 2102103234 is about 45848.6993708655. The cubic root of 2102103234 is about 1281.0065394273.

Adding to 2102103234 its reverse (4323012012), we get a palindrome (6425115246).

It can be divided in two parts, 210210 and 3234, that added together give a square (213444 = 4622).

The spelling of 2102103234 in words is "two billion, one hundred two million, one hundred three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 847 882 1078 1089 1386 1617 1694 2178 2541 3234 4851 5082 5929 7623 9702 11858 15246 17787 19697 35574 39394 53361 59091 106722 118182 137879 177273 216667 275758 354546 413637 433334 650001 827274 965153 1240911 1300002 1516669 1930306 1950003 2383337 2481822 2895459 3033338 3900006 4550007 4766674 5790918 7150011 8686377 9100014 10616683 13650021 14300022 16683359 17372754 21233366 21450033 27300042 31850049 33366718 42900066 50050077 63700098 95550147 100100154 116783513 150150231 191100294 233567026 300300462 350350539 700701078 1051051617 2102103234