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42101330112 = 2632593123259
BaseRepresentation
bin100111001101011011…
…110101000011000000
311000200010002011111200
4213031123311003000
51142210420030422
631201401341200
73020211254442
oct471533650300
9130603064450
1042101330112
11169451154a6
1281ab797800
133c7c51796a
1420756c2492
1511662132ac
hex9cd6f50c0

42101330112 has 84 divisors (see below), whose sum is σ = 120880342440. Its totient is φ = 14009997312.

The previous prime is 42101330027. The next prime is 42101330137. The reversal of 42101330112 is 21103310124.

42101330112 is a `hidden beast` number, since 421 + 0 + 133 + 0 + 112 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279939 + ... + 403197.

Almost surely, 242101330112 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 42101330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60440171220).

42101330112 is an abundant number, since it is smaller than the sum of its proper divisors (78779012328).

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

42101330112 is a wasteful number, since it uses less digits than its factorization.

42101330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123870 (or 123857 counting only the distinct ones).

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

Adding to 42101330112 its reverse (21103310124), we get a palindrome (63204640236).

The spelling of 42101330112 in words is "forty-two billion, one hundred one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 18976 21348 28464 37952 42696 56928 85392 113856 123259 170784 246518 341568 369777 493036 739554 986072 1109331 1479108 1972144 2218662 2958216 3944288 4437324 5916432 7888576 8874648 11832864 17749296 23665728 35498592 70997184 73092587 146185174 219277761 292370348 438555522 584740696 657833283 877111044 1169481392 1315666566 1754222088 2338962784 2631333132 3508444176 4677925568 5262666264 7016888352 10525332528 14033776704 21050665056 42101330112