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42103132112 = 24312107157163
BaseRepresentation
bin100111001101100010…
…101100111111010000
311000200020110201101102
4213031202230333100
51142211400211422
631201504123532
73020232501206
oct471542547720
9130606421342
1042103132112
1116946136358
1281b03065a8
133c7c9c8c32
142075a31076
15116646c192
hex9cd8acfd0

42103132112 has 120 divisors (see below), whose sum is σ = 86146102368. Its totient is φ = 19930510080.

The previous prime is 42103132091. The next prime is 42103132117. The reversal of 42103132112 is 21123130124.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258301343 + ... + 258301505.

Almost surely, 242103132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42103132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43073051184).

42103132112 is an abundant number, since it is smaller than the sum of its proper divisors (44042970256).

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

42103132112 is a wasteful number, since it uses less digits than its factorization.

42103132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 42103132112 its reverse (21123130124), we get a palindrome (63226262236).

The spelling of 42103132112 in words is "forty-two billion, one hundred three million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 107 124 157 163 214 248 314 326 428 496 628 652 856 961 1256 1304 1712 1922 2512 2608 3317 3844 4867 5053 6634 7688 9734 10106 13268 15376 16799 17441 19468 20212 25591 26536 33598 34882 38936 40424 51182 53072 67196 69764 77872 80848 102364 102827 134392 139528 150877 156643 204728 205654 268784 279056 301754 313286 409456 411308 520769 540671 603508 626572 793321 822616 1041538 1081342 1207016 1253144 1586642 1645232 2083076 2162684 2414032 2506288 2738237 3173284 4166152 4325368 5476474 6346568 8332304 8650736 10952948 12693136 16143839 16760801 21905896 24592951 32287678 33521602 43811792 49185902 64575356 67043204 84885347 98371804 129150712 134086408 169770694 196743608 258301424 268172816 339541388 393487216 679082776 1358165552 2631445757 5262891514 10525783028 21051566056 42103132112