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2131343130 = 235756917837
BaseRepresentation
bin111111100001001…
…1011011100011010
312111112111110010110
41333002123130122
513331110440010
6551254025150
7103550055240
oct17702333432
95445443113
102131343130
119a40a6704
124b59481b6
1327c7432a7
141630c8790
15c71a9120
hex7f09b71a

2131343130 has 64 divisors (see below), whose sum is σ = 5856572160. Its totient is φ = 486280704.

The previous prime is 2131343129. The next prime is 2131343141. The reversal of 2131343130 is 313431312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2131343097 and 2131343106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110572 + ... + 128408.

It is an arithmetic number, because the mean of its divisors is an integer number (91508940).

Almost surely, 22131343130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131343130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928286080).

2131343130 is an abundant number, since it is smaller than the sum of its proper divisors (3725229030).

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

2131343130 is a wasteful number, since it uses less digits than its factorization.

2131343130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18423.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 2131343130 is about 46166.4719249804. The cubic root of 2131343130 is about 1286.9187382168.

Adding to 2131343130 its reverse (313431312), we get a palindrome (2444774442).

The spelling of 2131343130 in words is "two billion, one hundred thirty-one million, three hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 1138 1707 2845 3414 3983 5690 7966 8535 11949 17070 17837 19915 23898 35674 39830 53511 59745 89185 107022 119490 124859 178370 249718 267555 374577 535110 624295 749154 1248590 1872885 3745770 10149253 20298506 30447759 50746265 60895518 71044771 101492530 142089542 152238795 213134313 304477590 355223855 426268626 710447710 1065671565 2131343130