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164101300 = 225211149183
BaseRepresentation
bin10011100011111…
…11110010110100
3102102210012122221
421301333302310
5314002220200
624141132124
74031560306
oct1161776264
9372705587
10164101300
11846a3810
1246b5a044
1327cc847c
1417b19976
15e61791a
hex9c7fcb4

164101300 has 36 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 59672800.

The previous prime is 164101283. The next prime is 164101319. The reversal of 164101300 is 3101461.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 73492 + ... + 75691.

It is an arithmetic number, because the mean of its divisors is an integer number (10790976).

Almost surely, 2164101300 is an apocalyptic number.

164101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164101300 is an abundant number, since it is smaller than the sum of its proper divisors (224373836).

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

164101300 is a wasteful number, since it uses less digits than its factorization.

164101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149208 (or 149201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 164101300 is about 12810.2029648246. The cubic root of 164101300 is about 547.4830447270.

Adding to 164101300 its reverse (3101461), we get a palindrome (167202761).

The spelling of 164101300 in words is "one hundred sixty-four million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 149183 298366 596732 745915 1491830 1641013 2983660 3282026 3729575 6564052 7459150 8205065 14918300 16410130 32820260 41025325 82050650 164101300