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2131301000 = 23532578293
BaseRepresentation
bin111111100001001…
…0001001010001000
312111112102022100002
41333002101022020
513331103113000
6551253102132
7103546521353
oct17702211210
95445368302
102131301000
119a4077a94
124b5927948
1327c72a06a
141630b729a
15c719b8d5
hex7f091288

2131301000 has 64 divisors (see below), whose sum is σ = 5007253680. Its totient is φ = 849100800.

The previous prime is 2131300987. The next prime is 2131301027. The reversal of 2131301000 is 1031312.

It can be written as a sum of positive squares in 8 ways, for example, as 265233796 + 1866067204 = 16286^2 + 43198^2 .

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 15 ways as a sum of consecutive naturals, for example, 252854 + ... + 261146.

Almost surely, 22131301000 is an apocalyptic number.

2131301000 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 2131301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503626840).

2131301000 is an abundant number, since it is smaller than the sum of its proper divisors (2875952680).

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

2131301000 is a wasteful number, since it uses less digits than its factorization.

2131301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2131301000 is about 46166.0156392124. The cubic root of 2131301000 is about 1286.9102587057.

Adding to 2131301000 its reverse (1031312), we get a palindrome (2132332312).

The spelling of 2131301000 in words is "two billion, one hundred thirty-one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 8293 10280 12850 16586 25700 32125 33172 41465 51400 64250 66344 82930 128500 165860 207325 257000 331720 414650 829300 1036625 1658600 2073250 2131301 4146500 4262602 8293000 8525204 10656505 17050408 21313010 42626020 53282525 85252040 106565050 213130100 266412625 426260200 532825250 1065650500 2131301000