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164014112130 = 2351134107541
BaseRepresentation
bin1001100011000000000…
…0001011110110000010
3120200100102111011122120
42120300000023312002
510141400103042010
6203202543345110
714564264644011
oct2306000136602
9520312434576
10164014112130
1163615766000
1227953bb2196
131260aa8c7bb
147d1ca9ca78
1543ee09de70
hex263000bd82

164014112130 has 64 divisors (see below), whose sum is σ = 432967787136. Its totient is φ = 39760987200.

The previous prime is 164014112089. The next prime is 164014112149. The reversal of 164014112130 is 31211410461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 164014112130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013841 + ... + 2093700.

It is an arithmetic number, because the mean of its divisors is an integer number (6765121674).

Almost surely, 2164014112130 is an apocalyptic number.

164014112130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164014112130 is an abundant number, since it is smaller than the sum of its proper divisors (268953675006).

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

164014112130 is a wasteful number, since it uses less digits than its factorization.

164014112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107584 (or 4107562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 164014112130 its reverse (31211410461), we get a palindrome (195225522591).

The spelling of 164014112130 in words is "one hundred sixty-four billion, fourteen million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1331 1815 2662 3630 3993 6655 7986 13310 19965 39930 4107541 8215082 12322623 20537705 24645246 41075410 45182951 61613115 90365902 123226230 135548853 225914755 271097706 451829510 497012461 677744265 994024922 1355488530 1491037383 2485062305 2982074766 4970124610 5467137071 7455186915 10934274142 14910373830 16401411213 27335685355 32802822426 54671370710 82007056065 164014112130