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42133111230 = 23571957718301
BaseRepresentation
bin100111001111010101…
…000100000110111110
311000202022212211000010
4213033111010012332
51142242034024410
631204454444050
73021045351660
oct471725040676
9130668784003
1042133111230
1116961052091
1281ba363626
133c85c94562
1420799d6530
151168ddec20
hex9cf5441be

42133111230 has 128 divisors (see below), whose sum is σ = 121864965120. Its totient is φ = 9107251200.

The previous prime is 42133111213. The next prime is 42133111231. The reversal of 42133111230 is 3211133124.

It is a super-2 number, since 2×421331112302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42133111197 and 42133111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133111231) 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 63 ways as a sum of consecutive naturals, for example, 2293080 + ... + 2311380.

It is an arithmetic number, because the mean of its divisors is an integer number (952070040).

Almost surely, 242133111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60932482560).

42133111230 is an abundant number, since it is smaller than the sum of its proper divisors (79731853890).

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

42133111230 is a wasteful number, since it uses less digits than its factorization.

42133111230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18914.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 42133111230 its reverse (3211133124), we get a palindrome (45344244354).

The spelling of 42133111230 in words is "forty-two billion, one hundred thirty-three million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 577 665 798 1154 1330 1731 1995 2885 3462 3990 4039 5770 8078 8655 10963 12117 17310 18301 20195 21926 24234 32889 36602 40390 54815 54903 60585 65778 76741 91505 109630 109806 121170 128107 153482 164445 183010 230223 256214 274515 328890 347719 383705 384321 460446 549030 640535 695438 767410 768642 1043157 1151115 1281070 1738595 1921605 2086314 2302230 2434033 3477190 3843210 4868066 5215785 7302099 10431570 10559677 12170165 14604198 21119354 24340330 31679031 36510495 52798385 63358062 73020990 73917739 105596770 147835478 158395155 200633863 221753217 316790310 369588695 401267726 443506434 601901589 739177390 1003169315 1108766085 1203803178 1404437041 2006338630 2217532170 2808874082 3009507945 4213311123 6019015890 7022185205 8426622246 14044370410 21066555615 42133111230