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42532100220 = 2235978119011
BaseRepresentation
bin100111100111000111…
…000101100001111100
311001210010122120000010
4213213013011201330
51144101204201340
631312230303220
73033661613121
oct474707054174
9131703576003
1042532100220
1117046297455
1282abab7b10
13401a84090c
1420b69b6748
15118de53b80
hex9e71c587c

42532100220 has 96 divisors (see below), whose sum is σ = 120479337216. Its totient is φ = 11209881600.

The previous prime is 42532100209. The next prime is 42532100249. The reversal of 42532100220 is 2200123524.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4715515 + ... + 4724525.

It is an arithmetic number, because the mean of its divisors is an integer number (1254993096).

Almost surely, 242532100220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42532100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60239668608).

42532100220 is an abundant number, since it is smaller than the sum of its proper divisors (77947236996).

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

42532100220 is a wasteful number, since it uses less digits than its factorization.

42532100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 42532100220 its reverse (2200123524), we get a palindrome (44732223744).

The spelling of 42532100220 in words is "forty-two billion, five hundred thirty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 811 970 1164 1455 1622 1940 2433 2910 3244 4055 4866 5820 8110 9011 9732 12165 16220 18022 24330 27033 36044 45055 48660 54066 78667 90110 108132 135165 157334 180220 236001 270330 314668 393335 472002 540660 786670 874067 944004 1180005 1573340 1748134 2360010 2622201 3496268 4370335 4720020 5244402 7307921 8740670 10488804 13111005 14615842 17481340 21923763 26222010 29231684 36539605 43847526 52444020 73079210 87695052 109618815 146158420 219237630 438475260 708868337 1417736674 2126605011 2835473348 3544341685 4253210022 7088683370 8506420044 10633025055 14177366740 21266050110 42532100220