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42322441010300 = 225211709110349199
BaseRepresentation
bin10011001111101111101100…
…00011111111110001111100
312112211222121200102022220022
421213313312003333301330
521021402324344312200
6230002354435111312
711625460353651233
oct1147676603776174
9175758550368808
1042322441010300
1112537934674360
1248b6457a42538
131a7ccb1c7c649
14a645ba649b1a
154d5d8559b885
hex267df60ffc7c

42322441010300 has 144 divisors (see below), whose sum is σ = 100423072512000. Its totient is φ = 15354026707200.

The previous prime is 42322441010281. The next prime is 42322441010303. The reversal of 42322441010300 is 301014422324.

It is a self number, because there is not a number n which added to its sum of digits gives 42322441010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322441010303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860205101 + ... + 860254299.

It is an arithmetic number, because the mean of its divisors is an integer number (697382448000).

Almost surely, 242322441010300 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 42322441010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211536256000).

42322441010300 is an abundant number, since it is smaller than the sum of its proper divisors (58100631501700).

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

42322441010300 is a wasteful number, since it uses less digits than its factorization.

42322441010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51036 (or 51029 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42322441010300 its reverse (301014422324), we get a palindrome (42623455432624).

The spelling of 42322441010300 in words is "forty-two trillion, three hundred twenty-two billion, four hundred forty-one million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 709 1100 1103 1418 2206 2836 3545 4412 5515 7090 7799 11030 12133 14180 15598 17725 22060 24266 27575 31196 35450 38995 48532 49199 55150 60665 70900 77990 98398 110300 121330 155980 194975 196796 242660 245995 303325 389950 491990 541189 606650 779900 782027 983980 1082378 1213300 1229975 1564054 2164756 2459950 2705945 3128108 3910135 4919900 5411890 7820270 8602297 10823780 13529725 15640540 17204594 19550675 27059450 34409188 34882091 39101350 43011485 54118900 54266497 69764182 78202700 86022970 108532994 139528364 172045940 174410455 215057425 217065988 271332485 348820910 383703001 430114850 542664970 596931467 697641820 767406002 860229700 872052275 1085329940 1193862934 1356662425 1534812004 1744104550 1918515005 2387725868 2713324850 2984657335 3488209100 3837030010 5426649700 5969314670 7674060020 9592575025 11938629340 14923286675 19185150050 29846573350 38370300100 38474946373 59693146700 76949892746 153899785492 192374731865 384749463730 423224410103 769498927460 846448820206 961873659325 1692897640412 1923747318650 2116122050515 3847494637300 4232244101030 8464488202060 10580610252575 21161220505150 42322441010300