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42130220022 = 23211415239923
BaseRepresentation
bin100111001111001010…
…000010001111110110
311000202010102221000100
4213033022002033312
51142240314020042
631204312454530
73021011650542
oct471712021766
9130663387010
1042130220022
111695a457960
1281b93aa446
133c854c1597
142079482a22
151168a1d24c
hex9cf2823f6

42130220022 has 96 divisors (see below), whose sum is σ = 102214659456. Its totient is φ = 12430281600.

The previous prime is 42130220021. The next prime is 42130220039. The reversal of 42130220022 is 22002203124.

42130220022 is a `hidden beast` number, since 421 + 3 + 0 + 220 + 0 + 22 = 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 = 42130219977 and 42130220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130220021) 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 47 ways as a sum of consecutive naturals, for example, 4240753 + ... + 4250675.

It is an arithmetic number, because the mean of its divisors is an integer number (1064736036).

Almost surely, 242130220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51107329728).

42130220022 is an abundant number, since it is smaller than the sum of its proper divisors (60084439434).

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

42130220022 is a wasteful number, since it uses less digits than its factorization.

42130220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10503 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42130220022 its reverse (22002203124), we get a palindrome (64132423146).

The spelling of 42130220022 in words is "forty-two billion, one hundred thirty million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 523 738 902 1046 1353 1569 2706 3138 4059 4707 5753 8118 9414 9923 11506 17259 19846 21443 29769 34518 42886 51777 59538 64329 89307 103554 109153 128658 178614 192987 218306 235873 327459 385974 406843 471746 654918 707619 813686 982377 1220529 1415238 1964754 2122857 2441058 3661587 4245714 4475273 5189729 7323174 8950546 10379458 13425819 15569187 26851638 31138374 40277457 46707561 57087019 80554914 93415122 114174038 171261057 212778889 342522114 425557778 513783171 638336667 1027566342 1276673334 1915010001 2340567779 3830020002 4681135558 7021703337 14043406674 21065110011 42130220022