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2130010320 = 243537923417
BaseRepresentation
bin111111011110101…
…0110000011010000
312111102222201212010
41332331112003100
513330240312240
6551205302520
7103532534424
oct17675260320
95442881763
102130010320
119a3376309
124b5404a40
1327c397749
14162c5cb84
15c6ee4280
hex7ef560d0

2130010320 has 80 divisors (see below), whose sum is σ = 6620736960. Its totient is φ = 566479872.

The previous prime is 2130010307. The next prime is 2130010327. The reversal of 2130010320 is 230100312.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2130010296 and 2130010305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130010327) 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 15 ways as a sum of consecutive naturals, for example, 79252 + ... + 102668.

It is an arithmetic number, because the mean of its divisors is an integer number (82759212).

Almost surely, 22130010320 is an apocalyptic number.

2130010320 is a gapful number since it is divisible by the number (20) 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 2130010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310368480).

2130010320 is an abundant number, since it is smaller than the sum of its proper divisors (4490726640).

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

2130010320 is a wasteful number, since it uses less digits than its factorization.

2130010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23812 (or 23806 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130010320 is about 46152.0348413805. The cubic root of 2130010320 is about 1286.6504291877.

Adding to 2130010320 its reverse (230100312), we get a palindrome (2360110632).

The spelling of 2130010320 in words is "two billion, one hundred thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 379 758 1137 1516 1895 2274 3032 3790 4548 5685 6064 7580 9096 11370 15160 18192 22740 23417 30320 45480 46834 70251 90960 93668 117085 140502 187336 234170 281004 351255 374672 468340 562008 702510 936680 1124016 1405020 1873360 2810040 5620080 8875043 17750086 26625129 35500172 44375215 53250258 71000344 88750430 106500516 133125645 142000688 177500860 213001032 266251290 355001720 426002064 532502580 710003440 1065005160 2130010320