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42103132110 = 232513172116799
BaseRepresentation
bin100111001101100010…
…101100111111001110
311000200020110201101100
4213031202230333032
51142211400211420
631201504123530
73020232501204
oct471542547716
9130606421340
1042103132110
1116946136356
1281b03065a6
133c7c9c8c30
142075a31074
15116646c190
hex9cd8acfce

42103132110 has 96 divisors (see below), whose sum is σ = 124823462400. Its totient is φ = 9754205184.

The previous prime is 42103132091. The next prime is 42103132117. The reversal of 42103132110 is 1123130124.

42103132110 is a `hidden beast` number, since 421 + 0 + 3 + 132 + 110 = 666.

It is a super-2 number, since 2×421031321102 (a number of 22 digits) contains 22 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 (42103132117) 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, 1038510 + ... + 1078289.

It is an arithmetic number, because the mean of its divisors is an integer number (1300244400).

Almost surely, 242103132110 is an apocalyptic number.

42103132110 is an abundant number, since it is smaller than the sum of its proper divisors (82720330290).

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

42103132110 is a wasteful number, since it uses less digits than its factorization.

42103132110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116842 (or 2116839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42103132110 its reverse (1123130124), we get a palindrome (43226262234).

The spelling of 42103132110 in words is "forty-two billion, one hundred three million, one hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 2116799 4233598 6350397 10583995 12700794 19051191 21167990 27518387 31751985 35985583 38102382 55036774 63503970 71971166 82555161 95255955 107956749 137591935 165110322 179927915 190511910 215913498 247665483 275183870 323870247 359855830 412775805 467812579 495330966 539783745 647740494 825551610 935625158 1079567490 1238327415 1403437737 1619351235 2339062895 2476654830 2806875474 3238702470 4210313211 4678125790 7017188685 8420626422 14034377370 21051566055 42103132110