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2130031300 = 2252127367457
BaseRepresentation
bin111111011110101…
…1011001011000100
312111110000210122011
41332331123023010
513330242000200
6551205544004
7103532652535
oct17675331304
95443023564
102130031300
119a3390051
124b5415004
1327c3a4167
14162c6668c
15c6eea5ba
hex7ef5b2c4

2130031300 has 72 divisors (see below), whose sum is σ = 4681478144. Its totient is φ = 841155840.

The previous prime is 2130031291. The next prime is 2130031301. The reversal of 2130031300 is 31300312.

It is not an unprimeable number, because it can be changed into a prime (2130031301) 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 23 ways as a sum of consecutive naturals, for example, 4660672 + ... + 4661128.

Almost surely, 22130031300 is an apocalyptic number.

2130031300 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 2130031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340739072).

2130031300 is an abundant number, since it is smaller than the sum of its proper divisors (2551446844).

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

2130031300 is a wasteful number, since it uses less digits than its factorization.

2130031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2130031300 is about 46152.2621330743. The cubic root of 2130031300 is about 1286.6546535549.

Adding to 2130031300 its reverse (31300312), we get a palindrome (2161331612).

The spelling of 2130031300 in words is "two billion, one hundred thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 367 457 508 635 734 914 1270 1468 1828 1835 2285 2540 3175 3670 4570 6350 7340 9140 9175 11425 12700 18350 22850 36700 45700 46609 58039 93218 116078 167719 186436 232156 233045 290195 335438 466090 580390 670876 838595 932180 1160780 1165225 1450975 1677190 2330450 2901950 3354380 4192975 4660900 5803900 8385950 16771900 21300313 42600626 85201252 106501565 213003130 426006260 532507825 1065015650 2130031300