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2131013020 = 2251923210601
BaseRepresentation
bin111111100000100…
…1010110110011100
312111111212200022011
41333001022312130
513331014404040
6551243001004
7103544211643
oct17701126634
95444780264
102131013020
119a39a0694
124b5809164
1327c658c66
1416304035a
15c71413ea
hex7f04ad9c

2131013020 has 72 divisors (see below), whose sum is σ = 4924841040. Its totient is φ = 772358400.

The previous prime is 2131013011. The next prime is 2131013023. The reversal of 2131013020 is 203101312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131013023) 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 23 ways as a sum of consecutive naturals, for example, 195720 + ... + 206320.

It is an arithmetic number, because the mean of its divisors is an integer number (68400570).

Almost surely, 22131013020 is an apocalyptic number.

2131013020 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 2131013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462420520).

2131013020 is an abundant number, since it is smaller than the sum of its proper divisors (2793828020).

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

2131013020 is a wasteful number, since it uses less digits than its factorization.

2131013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10675 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2131013020 is about 46162.8965728972. The cubic root of 2131013020 is about 1286.8522939368.

Adding to 2131013020 its reverse (203101312), we get a palindrome (2334114332).

The spelling of 2131013020 in words is "two billion, one hundred thirty-one million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 529 874 1058 1748 2116 2185 2645 4370 5290 8740 10051 10580 10601 20102 21202 40204 42404 50255 53005 100510 106010 201020 201419 212020 243823 402838 487646 805676 975292 1007095 1219115 2014190 2438230 4028380 4632637 4876460 5607929 9265274 11215858 18530548 22431716 23163185 28039645 46326370 56079290 92652740 106550651 112158580 213101302 426202604 532753255 1065506510 2131013020