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42111310122 = 23271073123521
BaseRepresentation
bin100111001110000001…
…111001100100101010
311000200210212012111200
4213032001321210222
51142220443410442
631202355305030
73020362141620
oct471601714452
9130623765450
1042111310122
111694a811642
1281b2bab176
133c816003ab
142076b5d510
15116703534c
hex9ce07992a

42111310122 has 48 divisors (see below), whose sum is σ = 105250197312. Its totient is φ = 11919352320.

The previous prime is 42111310103. The next prime is 42111310123. The reversal of 42111310122 is 22101311124.

42111310122 is a `hidden beast` number, since 421 + 113 + 10 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42111310095 and 42111310104.

It is not an unprimeable number, because it can be changed into a prime (42111310123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1548279 + ... + 1575242.

It is an arithmetic number, because the mean of its divisors is an integer number (2192712444).

Almost surely, 242111310122 is an apocalyptic number.

42111310122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42111310122 is an abundant number, since it is smaller than the sum of its proper divisors (63138887190).

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

42111310122 is a wasteful number, since it uses less digits than its factorization.

42111310122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123643 (or 3123640 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 42111310122 its reverse (22101311124), we get a palindrome (64212621246).

The spelling of 42111310122 in words is "forty-two billion, one hundred eleven million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 13482 3123521 6247042 9370563 18741126 21864647 28111689 43729294 56223378 65593941 131187882 196781823 334216747 393563646 668433494 1002650241 2005300482 2339517229 3007950723 4679034458 6015901446 7018551687 14037103374 21055655061 42111310122