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2130299980 = 2252943229373
BaseRepresentation
bin111111011111001…
…1100110001001100
312111110112110012021
41332332130301030
513330324044410
6551215415524
7103535152054
oct17676346114
95443473167
102130299980
119a35539a6
124b55245a4
1327c469543
14162cd6564
15c704eeda
hex7ef9cc4c

2130299980 has 96 divisors (see below), whose sum is σ = 4768948800. Its totient is φ = 797948928.

The previous prime is 2130299947. The next prime is 2130299987. The reversal of 2130299980 is 899920312.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2130299987) 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 31 ways as a sum of consecutive naturals, for example, 5711074 + ... + 5711446.

It is an arithmetic number, because the mean of its divisors is an integer number (49676550).

Almost surely, 22130299980 is an apocalyptic number.

2130299980 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 2130299980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384474400).

2130299980 is an abundant number, since it is smaller than the sum of its proper divisors (2638648820).

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

2130299980 is a wasteful number, since it uses less digits than its factorization.

2130299980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 2130299980 is about 46155.1728411887. The cubic root of 2130299980 is about 1286.7087503872.

The spelling of 2130299980 in words is "two billion, one hundred thirty million, two hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 229 290 373 430 458 580 746 860 916 1145 1247 1492 1865 2290 2494 3730 4580 4988 6235 6641 7460 9847 10817 12470 13282 16039 19694 21634 24940 26564 32078 33205 39388 43268 49235 54085 64156 66410 80195 85417 98470 108170 132820 160390 170834 196940 216340 285563 320780 341668 427085 465131 571126 854170 930262 1142252 1427815 1708340 1860524 2325655 2477093 2855630 3672931 4651310 4954186 5711260 7345862 9302620 9908372 12385465 14691724 18364655 24770930 36729310 49541860 73458620 106514999 213029998 426059996 532574995 1065149990 2130299980