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2130209712 = 243313735993
BaseRepresentation
bin111111011111000…
…0110101110110000
312111110100212101000
41332332012232300
513330313202322
6551213442000
7103534324641
oct17676065660
95443325330
102130209712
119a34a20a4
124b54a0300
1327c437427
14162cb16c8
15c70333ac
hex7ef86bb0

2130209712 has 80 divisors (see below), whose sum is σ = 6159293280. Its totient is φ = 704867328.

The previous prime is 2130209687. The next prime is 2130209713. The reversal of 2130209712 is 2179020312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2130209713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41188 + ... + 77180.

It is an arithmetic number, because the mean of its divisors is an integer number (76991166).

Almost surely, 22130209712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130209712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079646640).

2130209712 is an abundant number, since it is smaller than the sum of its proper divisors (4029083568).

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

2130209712 is a wasteful number, since it uses less digits than its factorization.

2130209712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36147 (or 36135 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2130209712 is about 46154.1949556051. The cubic root of 2130209712 is about 1286.6905760663.

The spelling of 2130209712 in words is "two billion, one hundred thirty million, two hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 548 822 1096 1233 1644 2192 2466 3288 3699 4932 6576 7398 9864 14796 19728 29592 35993 59184 71986 107979 143972 215958 287944 323937 431916 575888 647874 863832 971811 1295748 1727664 1943622 2591496 3887244 4931041 5182992 7774488 9862082 14793123 15548976 19724164 29586246 39448328 44379369 59172492 78896656 88758738 118344984 133138107 177517476 236689968 266276214 355034952 532552428 710069904 1065104856 2130209712