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42101104200 = 23352411711427
BaseRepresentation
bin100111001101011010…
…111101111001001000
311000200002122200121120
4213031122331321020
51142210340313300
631201352435240
73020206324011
oct471532757110
9130602580546
1042101104200
1116944a807a1
1281ab6a8b20
133c7c468b9c
142075664008
1511661bb3a0
hex9cd6bde48

42101104200 has 96 divisors (see below), whose sum is σ = 133696755360. Its totient is φ = 10953126400.

The previous prime is 42101104187. The next prime is 42101104207. The reversal of 42101104200 is 240110124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42101104200.

It is not an unprimeable number, because it can be changed into a prime (42101104207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 831114 + ... + 880313.

It is an arithmetic number, because the mean of its divisors is an integer number (1392674535).

Almost surely, 242101104200 is an apocalyptic number.

42101104200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42101104200 is an abundant number, since it is smaller than the sum of its proper divisors (91595651160).

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

42101104200 is a wasteful number, since it uses less digits than its factorization.

42101104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711487 (or 1711478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42101104200 its reverse (240110124), we get a palindrome (42341214324).

The spelling of 42101104200 in words is "forty-two billion, one hundred one million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 1711427 3422854 5134281 6845708 8557135 10268562 13691416 17114270 20537124 25671405 34228540 41074248 42785675 51342810 68457080 70168507 85571350 102685620 128357025 140337014 171142700 205371240 210505521 256714050 280674028 342285400 350842535 421011042 513428100 561348056 701685070 842022084 1026856200 1052527605 1403370140 1684044168 1754212675 2105055210 2806740280 3508425350 4210110420 5262638025 7016850700 8420220840 10525276050 14033701400 21050552100 42101104200