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42220251300 = 22352236619257
BaseRepresentation
bin100111010100100001…
…011110100010100100
311000222101211222201010
4213110201132202210
51142431341020200
631221250302220
73023154133443
oct472441364244
9130871758633
1042220251300
11169a625a777
128223587970
133c9b054826
1420873dad5a
1511718a4150
hex9d485e8a4

42220251300 has 144 divisors (see below), whose sum is σ = 127675078272. Its totient is φ = 10751769600.

The previous prime is 42220251299. The next prime is 42220251377. The reversal of 42220251300 is 315202224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4556272 + ... + 4565528.

It is an arithmetic number, because the mean of its divisors is an integer number (886632488).

Almost surely, 242220251300 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 42220251300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63837539136).

42220251300 is an abundant number, since it is smaller than the sum of its proper divisors (85454826972).

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

42220251300 is a wasteful number, since it uses less digits than its factorization.

42220251300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9951 counting only the distinct ones).

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

Adding to 42220251300 its reverse (315202224), we get a palindrome (42535453524).

The spelling of 42220251300 in words is "forty-two billion, two hundred twenty million, two hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 661 690 1150 1322 1380 1725 1983 2300 2644 3305 3450 3966 6610 6900 7932 9257 9915 13220 15203 16525 18514 19830 27771 30406 33050 37028 39660 45609 46285 49575 55542 60812 66100 76015 91218 92570 99150 111084 138855 152030 182436 185140 198300 212911 228045 231425 277710 304060 380075 425822 456090 462850 555420 638733 694275 760150 851644 912180 925700 1064555 1140225 1277466 1388550 1520300 2129110 2280450 2554932 2777100 3193665 4258220 4560900 5322775 6118877 6387330 10645550 12237754 12774660 15968325 18356631 21291100 24475508 30594385 31936650 36713262 61188770 63873300 73426524 91783155 122377540 140734171 152971925 183566310 281468342 305943850 367132620 422202513 458915775 562936684 611887700 703670855 844405026 917831550 1407341710 1688810052 1835663100 2111012565 2814683420 3518354275 4222025130 7036708550 8444050260 10555062825 14073417100 21110125650 42220251300