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210213120122320 = 24572912944157643
BaseRepresentation
bin101111110011000000001110…
…010110100001110111010000
31000120022011210202222021012111
4233303000032112201313100
5210023112432222403240
62023030324010235104
762164253040064450
oct5763001626416720
91016264722867174
10210213120122320
1160a8697a078667
121b6b0864725a94
13903b020975a53
1439ca52550bd60
1519481d41d51ea
hexbf300e5a1dd0

210213120122320 has 80 divisors (see below), whose sum is σ = 577827197228160. Its totient is φ = 69587791483392.

The previous prime is 210213120122231. The next prime is 210213120122323. The reversal of 210213120122320 is 23221021312012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 210213120122291 and 210213120122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210213120122323) 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 15 ways as a sum of consecutive naturals, for example, 6472062582 + ... + 6472095061.

It is an arithmetic number, because the mean of its divisors is an integer number (7222839965352).

Almost surely, 2210213120122320 is an apocalyptic number.

210213120122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210213120122320 is an abundant number, since it is smaller than the sum of its proper divisors (367614077105840).

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

210213120122320 is a wasteful number, since it uses less digits than its factorization.

210213120122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944157692 (or 12944157686 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 210213120122320 its reverse (23221021312012), we get a palindrome (233434141434332).

The spelling of 210213120122320 in words is "two hundred ten trillion, two hundred thirteen billion, one hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 12944157643 25888315286 51776630572 64720788215 90609103501 103553261144 129441576430 181218207002 207106522288 258883152860 362436414004 375380571647 453045517505 517766305720 724872828008 750761143294 906091035010 1035532611440 1449745656016 1501522286588 1812182070020 1876902858235 2627664001529 3003044573176 3624364140040 3753805716470 5255328003058 6006089146352 7248728280080 7507611432940 10510656006116 13138320007645 15015222865880 21021312012232 26276640015290 30030445731760 42042624024464 52553280030580 105106560061160 210213120122320