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2131143132 = 2231931329863
BaseRepresentation
bin111111100000110…
…1010100111011100
312111112010021210010
41333001222213130
513331033040012
6551245443220
7103545263166
oct17701524734
95445107703
102131143132
119a3a7a418
124b5870510
1327c6a3251
14163075936
15c7169c3c
hex7f06a9dc

2131143132 has 48 divisors (see below), whose sum is σ = 5251285760. Its totient is φ = 670819968.

The previous prime is 2131143107. The next prime is 2131143149. The reversal of 2131143132 is 2313411312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2131143099 and 2131143108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56433 + ... + 86295.

Almost surely, 22131143132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625642880).

2131143132 is an abundant number, since it is smaller than the sum of its proper divisors (3120142628).

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

2131143132 is a wasteful number, since it uses less digits than its factorization.

2131143132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30202 (or 30200 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2131143132 is about 46164.3058217060. The cubic root of 2131143132 is about 1286.8784835966.

Adding to 2131143132 its reverse (2313411312), we get a palindrome (4444554444).

The spelling of 2131143132 in words is "two billion, one hundred thirty-one million, one hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 313 626 939 1252 1878 3756 5947 11894 17841 23788 29863 35682 59726 71364 89589 119452 179178 358356 567397 1134794 1702191 2269588 3404382 6808764 9347119 18694238 28041357 37388476 56082714 112165428 177595261 355190522 532785783 710381044 1065571566 2131143132