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42102321100 = 22527232615051
BaseRepresentation
bin100111001101011111…
…100110111111001100
311000200011221111212221
4213031133212333030
51142211143233400
631201434505124
73020222552560
oct471537467714
9130604844787
1042102321100
1116945731aa4
1281abb951a4
133c7c7a3a48
14207589d6a0
15116635bc1a
hex9cd7e6fcc

42102321100 has 72 divisors (see below), whose sum is σ = 108953526528. Its totient is φ = 13807464000.

The previous prime is 42102321083. The next prime is 42102321109. The reversal of 42102321100 is 112320124.

It is not an unprimeable number, because it can be changed into a prime (42102321109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291426 + ... + 1323625.

It is an arithmetic number, because the mean of its divisors is an integer number (1513243424).

Almost surely, 242102321100 is an apocalyptic number.

It is an amenable number.

42102321100 is an abundant number, since it is smaller than the sum of its proper divisors (66851205428).

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

42102321100 is a wasteful number, since it uses less digits than its factorization.

42102321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615095 (or 2615088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42102321100 its reverse (112320124), we get a palindrome (42214641224).

The spelling of 42102321100 in words is "forty-two billion, one hundred two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 2615051 5230102 10460204 13075255 18305357 26150510 36610714 52301020 60146173 65376275 73221428 91526785 120292346 130752550 183053570 240584692 261505100 300730865 366107140 421023211 457633925 601461730 842046422 915267850 1202923460 1503654325 1684092844 1830535700 2105116055 3007308650 4210232110 6014617300 8420464220 10525580275 21051160550 42102321100