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42103113200 = 2452417932497
BaseRepresentation
bin100111001101100010…
…101000010111110000
311000200020102202102222
4213031202220113300
51142211344110300
631201503500212
73020232362111
oct471542502760
9130606382388
1042103113200
1116946123125
1281b02b7668
133c7c9c0445
142075a28208
151166466785
hex9cd8a85f0

42103113200 has 120 divisors (see below), whose sum is σ = 104934742080. Its totient is φ = 16222003200.

The previous prime is 42103113191. The next prime is 42103113209. The reversal of 42103113200 is 231130124.

It is an interprime number because it is at equal distance from previous prime (42103113191) and next prime (42103113209).

It is a super-2 number, since 2×421031132002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42103113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1279352 + ... + 1311848.

It is an arithmetic number, because the mean of its divisors is an integer number (874456184).

Almost surely, 242103113200 is an apocalyptic number.

42103113200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42103113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52467371040).

42103113200 is an abundant number, since it is smaller than the sum of its proper divisors (62831628880).

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

42103113200 is a wasteful number, since it uses less digits than its factorization.

42103113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32635 (or 32624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 42103113200 its reverse (231130124), we get a palindrome (42334243324).

The spelling of 42103113200 in words is "forty-two billion, one hundred three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 79 80 82 100 158 164 200 205 316 328 395 400 410 632 656 790 820 1025 1264 1580 1640 1975 2050 3160 3239 3280 3950 4100 6320 6478 7900 8200 12956 15800 16195 16400 25912 31600 32390 32497 51824 64780 64994 80975 129560 129988 161950 162485 259120 259976 323900 324970 519952 647800 649940 812425 1295600 1299880 1332377 1624850 2567263 2599760 2664754 3249700 5134526 5329508 6499400 6661885 10269052 10659016 12836315 12998800 13323770 20538104 21318032 25672630 26647540 33309425 41076208 51345260 53295080 64181575 66618850 102690520 105257783 106590160 128363150 133237700 205381040 210515566 256726300 266475400 421031132 513452600 526288915 532950800 842062264 1026905200 1052577830 1684124528 2105155660 2631444575 4210311320 5262889150 8420622640 10525778300 21051556600 42103113200