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42331303103100 = 223521119366464599
BaseRepresentation
bin10011010000000000001100…
…10010001100101001111100
312112212211111022000021210120
421220000012102030221330
521022024002043244400
6230010422052334540
711626223103336414
oct1150000622145174
9175784438007716
1042331303103100
11125406720328a0
1248b810b914450
131a80a94ca603b
14a64bbb603644
154d62035d6ca0
hex26800648ca7c

42331303103100 has 144 divisors (see below), whose sum is σ = 134305283078400. Its totient is φ = 10208962252800.

The previous prime is 42331303102987. The next prime is 42331303103129. The reversal of 42331303103100 is 130130313324.

It is a happy number.

It is a super-2 number, since 2×423313031031002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32595400 + ... + 33869199.

Almost surely, 242331303103100 is an apocalyptic number.

It is an amenable number.

42331303103100 is an abundant number, since it is smaller than the sum of its proper divisors (91973979975300).

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

42331303103100 is a wasteful number, since it uses less digits than its factorization.

42331303103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66464820 (or 66464813 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 42331303103100 its reverse (130130313324), we get a palindrome (42461433416424).

The spelling of 42331303103100 in words is "forty-two trillion, three hundred thirty-one billion, three hundred three million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 193 220 275 300 330 386 550 579 660 772 825 965 1100 1158 1650 1930 2123 2316 2895 3300 3860 4246 4825 5790 6369 8492 9650 10615 11580 12738 14475 19300 21230 25476 28950 31845 42460 53075 57900 63690 106150 127380 159225 212300 318450 636900 66464599 132929198 199393797 265858396 332322995 398787594 664645990 731110589 797575188 996968985 1329291980 1462221178 1661614975 1993937970 2193331767 2924442356 3323229950 3655552945 3987875940 4386663534 4984844925 6646459900 7311105890 8773327068 9969689850 10966658835 12827667607 14622211780 18277764725 19939379700 21933317670 25655335214 36555529450 38483002821 43866635340 51310670428 54833294175 64138338035 73111058900 76966005642 109666588350 128276676070 141104343677 153932011284 192415014105 219333176700 256553352140 282208687354 320691690175 384830028210 423313031031 564417374708 641383380350 705521718385 769660056420 846626062062 962075070525 1282766760700 1411043436770 1693252124124 1924150141050 2116565155155 2822086873540 3527608591925 3848300282100 4233130310310 7055217183850 8466260620620 10582825775775 14110434367700 21165651551550 42331303103100