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2131300020 = 2235127927773
BaseRepresentation
bin111111100001001…
…0000111010110100
312111112102020222210
41333002100322310
513331103100040
6551253053420
7103546515453
oct17702207264
95445366883
102131300020
119a4077283
124b5927270
1327c729795
141630b6b9a
15c719b480
hex7f090eb4

2131300020 has 48 divisors (see below), whose sum is σ = 5972520960. Its totient is φ = 567881856.

The previous prime is 2131300009. The next prime is 2131300021. The reversal of 2131300020 is 200031312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2131299969 and 2131300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131300021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62854 + ... + 90626.

It is an arithmetic number, because the mean of its divisors is an integer number (124427520).

Almost surely, 22131300020 is an apocalyptic number.

2131300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131300020 is an abundant number, since it is smaller than the sum of its proper divisors (3841220940).

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

2131300020 is a wasteful number, since it uses less digits than its factorization.

2131300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29064 (or 29062 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2131300020 is about 46166.0050253431. The cubic root of 2131300020 is about 1286.9100614596.

Adding to 2131300020 its reverse (200031312), we get a palindrome (2331331332).

The spelling of 2131300020 in words is "two billion, one hundred thirty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1279 2558 3837 5116 6395 7674 12790 15348 19185 25580 27773 38370 55546 76740 83319 111092 138865 166638 277730 333276 416595 555460 833190 1666380 35521667 71043334 106565001 142086668 177608335 213130002 355216670 426260004 532825005 710433340 1065650010 2131300020